True/False Questions TRUE 1. The price elasticity of demand is used to determine the markup over cost when computing the profit-maximizing price. FALSE 2. Assume that the price elasticity of demand is less than -1. If the absolute value of the price elasticity of demand increases, the profit-maximizing price increases. FALSE 3. If the unit sales for one product are more sensitive to price increases than another product, then its markup over variable cost should be more than for the other product if the company wants to maximize profit. FALSE 4. Demand for a product is said to be elastic if a change in price has little effect on the number of units sold. FALSE 5. The demand for products that are sold in discount stores is generally less elastic than the demand for products sold in upscale boutiques. TRUE 6. The price elasticity of demand can be estimated using the formula ln(1 + percentage change in quantity sold)/ln(1 + percentage change in selling price). FALSE 7. Under the absorption approach to cost-plus pricing described in the text, all fixed costs are included in the cost base in setting a selling price. TRUE 8. The absorption costing approach to cost-plus pricing will result in attaining the company's required rate of return only if forecasted unit sales are realized. FALSE 9. The markup over cost under the absorption costing approach would decrease if the required rate of return increases, holding everything else constant. TRUE 10. The markup over cost under the absorption costing approach would decrease if the unit product cost increases, holding everything else constant. Multiple Choices 11. Holding all other things constant, an increase in fixed production costs will affect: A) the markup under the absorption costing approach to cost-plus pricing. B) the markup used to compute the profit-maximizing price. C) both the markup under the absorption costing approach to cost-plus pricing and the markup used to compute profit-maximizing price. D) neither the markup under the absorption costing approach to cost-plus pricing nor the markup used to compute profit-maximizing price. 12. Holding all other things constant, if fixed costs increase, the profit-maximizing price will: A) increase. B) decrease. C) remain the same. D) The effect cannot be determined. 13. When using the absorption approach to cost-plus pricing described in the text: A) all costs are included in the cost base. B) the “plus” or markup figure contains fixed costs and desired profit. C) the cost base is made up of the unit product cost. D) only selling and administrative expenses are included in the cost base. 14. Which of the following items are included in the cost base under the absorption approach to cost-plus pricing? Variable Cost Production Selling A) Yes Yes B) No Yes C) Yes Yes D) Yes No Fixed Cost Production Selling Yes No No Yes No No Yes No 15. Fipps Company's management believes that every 7% increase in the selling price of one of the company's products results in a 12% decrease in the product's total unit sales. The variable production cost of this product is $38.00 per unit and the variable selling and administrative cost is $5.00 per unit. The product's profit-maximizing price according to the formula in the text is closest to: A) $47.82 Solution: B) $51.17 Price elasticity of demand C) $99.78 = ln(1 + % change in quantity sold)/ln(1 + % change in price) D) $91.35 = ln(1 + −12%)/ln(1 + 7%) = −1.8894 Profit maximizing markup on variable cost = -1/(1+ed) = −1/(1+(-1.8894)) = 1.1244 Profit-maximizing price = (1+ Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 1.1244)*($38 + $5) = (2.1244)*$43 = $91.35 (rounded) 16. Goren Company's management has found that every 3% decrease in the selling price of one of the company's products leads to a 8% increase in the product's total unit sales. The product's absorption costing unit product cost is $12.70. The variable production cost of the product is $1.20 per unit and the variable selling and administrative cost is $4.30 per unit. According to the formula in the text, the product's profit-maximizing price is closest to: A) $9.10 Solution: B) $21.02 Price elasticity of demand C) $9.62 = ln(1 + % change in quantity sold)/ln(1 + % change in price) D) $15.43 = ln(1 + 8%)/ln(1 + −3%) = ln(1.08)/ln(0.97) = −2.5267 Profit maximizing markup on variable cost = −1/(1+ed) = −1/(1 + (−2.5267)) = 0.6550 PM price = (1+ Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 0.6550)*($1.20 + $4.30) = (1.6550)*$5.50 = $9.10 17. Inoye Company recently changed the selling price of one of its products. Data concerning sales for comparable periods before and after the price change are presented below. Selling Price Unit Sales $36.00 2,500 $37.00 2,350 The product's variable cost is $21.00 per unit. According to the formula in the text, the product's profit-maximizing price is closest to: A) $39.91 Percent change in price = ($37.00 − $36.00)/$36.00 = 2.78% B) $22.84 Percent change in total unit sales = (2,350 − 2,500)/2,500 = -6% C) $38.81 Price elasticity of demand D) $37.71 = ln(1 + % change in quantity sold)/ln(1 + % change in price) = ln(1 + −6%)/ln(1 + 2.78%) = −2.2565 Profit maximizing markup on variable cost = −1/(1 + ed) = -1/(1 + (−2.2565)) = 0.7959 PM price = (1 + Profit-maximizing markup on variable cost)*Variable cost/unit = (1 + 0.7959)*$21.00 = (1.7959)*$21.00 = $37.71 18. Ericksen Company's management believes that every 7% decrease in the selling price of one of the company's products leads to a 19% increase in the product's total unit sales. The product's price elasticity of demand as defined in the text is closest to: A) -1.39 Solution: B) -2.88 Price elasticity of demand C) -2.40 = ln(1 + % change in quantity sold)/ln(1 + % change in price) D) -1.83 = ln(1 + 19%)/ln(1 + −7%) = -2.40 19. Haptas Company recently changed the selling price of one of its products. Data concerning sales for comparable periods before and after the price change are presented below. Selling Price Unit Sales $24.00 6,900 $25.00 6,600 The product's price elasticity of demand as defined in the text is closest to: A) −1.04 B) −1.13 C) −1.09 D) −1.10 Percent change in price = ($24 − $25)/$25 = −4% Percent change in total unit sales = (6,900 − 6,600)/6,600 = −4.545% Price elasticity of demand = ln(1 + % change in quantity sold)/ln(1 + % change in price) = ln(1 + 4.545%)/ln(1 + -4%) = −1.09 20. Willow Company manufactures and sells 20,000 units of Product Z each year. In order to produce and sell this many units, it has been necessary for the company to make an investment of $500,000 in Product Z. The company requires a 20% rate of return on all investments in products. Selling and administrative expenses associated with Product Z total $200,000 per year. The unit product cost of Product Z is $20. The company uses the absorption costing approach to cost-plus pricing described in the text. The selling price for Product Z is: A) $25.00 Markup percentage on absorption cost B) $30.00 = [(Required ROI × Investment) + Selling and administrative expenses] C) $35.00 ÷ [Unit product cost × Units sales] D) $40.00 Markup on absorption cost = [(20% × $500,000) + $200,000] ÷ ($20.00 × 20,000) = [$100,000 + $200,000] ÷ $400,000 = 75.00% Target selling price = $20.00 + (75.00% × $20.00) = $35.00 21. Kirk, Inc., manufactures a product with the following costs: Direct materials ............................................................ Direct labor ................................................................... Variable manufacturing overhead ................................ Fixed manufacturing overhead ..................................... Variable selling and administrative expenses............... Fixed selling and administrative expenses ................... Per unit $17.40 $15.10 $4.10 Per year $696,600 $2.90 $761,400 The company uses the absorption costing approach to cost-plus pricing described in the text. The pricing calculations are based on budgeted production and sales of 54,000 units per year. The company has invested $420,000 in this product and expects a return on investment of 12%. The selling price based on the absorption costing approach would be closest to: A) $67.43 B) $49.86 C) $90.59 D) $66.50 Solution: Direct materials................................................ Direct labor ...................................................... Variable manufacturing overhead.................... Fixed manufacturing overhead ........................ Unit product cost ............................................. $17.40 15.10 4.10 12.90 $49.50 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] Markup on absorption cost = [(12% × $420,000) + ($2.90 × 54,000 + $761,400)] ÷ ($49.50 × 54,000) = [$50,400 + $918,000] ÷ $2,673,000 = 36.23% Target selling price = $49.50 + (36.23% × $49.50) = $67.43 22. Mahaffey, Inc., uses the absorption costing approach to cost-plus pricing described in the text to set prices for its products. Based on budgeted sales of 56,000 units next year, the unit product cost of a particular product is $63.40. The company's selling and administrative expenses for this product are budgeted to be $1,237,600 in total for the year. The company has invested $540,000 in this product and expects a return on investment of 8%. The selling price for this product based on the absorption costing approach would be closest to: A) $86.27 Markup percentage on absorption cost B) $85.50 = [(Required ROI × Investment) + Selling and administrative expenses] C) $68.47 D) $116.34 ÷ [Unit product cost × Unit sales] Markup on absorption cost = [(8% × $540,000) + $1,237,600] ÷ ($63.40 × 56,000) = [$43,200 + $1,237,600] ÷ $3,550,400 = 36.07% Target selling price = $63.40 + (36.07% × $63.40) = $86.27 23. Perkins Company estimates that an investment of $500,000 would be needed to produce and sell 25,000 units of Product A each year. At this level of activity, the unit product cost would be $40. Selling and administrative expenses would total $300,000 each year. The company uses the absorption costing approach to cost-plus pricing described in the text. If a 20% rate of return on investment is desired, then the required markup for Product A would be: A) 10% Markup percentage on absorption cost B) 20% = [(Required ROI × Investment) + Selling and administrative expenses] C) 30% ÷ [Unit product cost × Unit sales] D) 40% Markup on absorption cost = [(20% × $500,000) + $300,000] ÷ ($40 × 25,000) = [$100,000 + $300,000] ÷ $1,000,000 = 40% 24. The following information is available on Morton Company's Product B: Number of units sold each year ............. Unit product cost.................................... Investment in the product line ............... Required return on investment............... 40,000 $25 $850,000 20% The company uses the absorption costing approach to cost-plus pricing described in the text and a 60% markup. Based on these data, the company's total selling and administrative expenses associated with Product B each year are: A) $625,000 Markup percentage on absorption cost B) $600,000 = [(Required ROI × Investment) + Selling and administrative expenses] C) $510,000 ÷ [Unit product cost × Units sales] D) $430,000 = [(20% × $850,000) + Selling and administrative expenses] ÷ [$25 × 40,000] = 60% = [$170,000 + Selling and administrative expenses] ÷ $1,000,000 = 60% Solution: $170,000 + Selling and administrative expenses = $600,000 Selling and administrative expenses = $430,000 25. Jaap Corporation makes a product with the following costs: Per unit Direct materials............................................................. $12.50 Direct labor ................................................................... $13.10 Variable manufacturing overhead................................. $3.80 Fixed manufacturing overhead ..................................... Variable selling and administrative expenses ............... $2.50 Fixed selling and administrative expenses.................... Per year $1,314,500 $869,000 The company uses the absorption costing approach to cost-plus pricing described in the text. The pricing calculations are based on budgeted production and sales of 55,000 units per year. The company has invested $200,000 in this product and expects a return on investment of 8%. The markup on absorption cost would be closest to: A) 144.5% B) 8.0% C) 34.3% D) 34.9% The unit product cost is: Direct materials ................................................................................$12.50 Direct labor ....................................................................................... 13.10 Variable manufacturing overhead .................................................... 3.80 Fixed manufacturing overhead ($1,314,500 ÷ 55,000 units)............ 23.90 Unit product cost ..............................................................................$53.30 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(8% × $200,000) + ($2.50 × 55,000 + $869,000)] ÷ [$53.30 × 55,000] = 34.9% 26. Laflam Corporation uses the absorption costing approach to cost-plus pricing described in the text to set prices for its products. Based on budgeted sales of 55,000 units next year, the unit product cost of a product is $53.60. The company's selling & administrative expenses for this product are budgeted to be $709,500 in total for the year. The company has invested $100,000 in this product & expects a return on investment of 15%. The markup on absorption cost for this product would be closest to: A) 24.1% Solution: B) 15.0% Markup percentage on absorption cost C) 24.6% = [(Required ROI × Investment) + Selling and administrative expenses] D) 39.1% ÷ [Unit product cost × Units sales] = [(15% × $100,000) + $709,500] ÷ [$53.60 × 55,000] = 24.6% 27. Hieko Company, a manufacturer of moderate-priced time pieces, would like to introduce a new electronic watch. To compete effectively, the watch could not be priced at more than $30. The company requires a return on investment of 15% on all new products. The plan is to produce and sell 25,000 watches each year. This would require a $500,000 investment. The target cost per watch would be: A) $27.00 Projected sales (25,000 units × $30 per unit) ..................... $750,000 B) $20.00 Less desired profit (15% × $500,000) ................................ 75,000 C) $21.50 Target cost for 25,000 units ................................................ $675,000 D) $23.00 Target cost per unit ($675,000 ÷ 25,000 units)................... $27.00 28. Home Products, Inc., is planning the introduction of a new food dryer. To compete effectively, the dryer would have to be priced at no more than $40 per unit. An investment of $600,000 would have to be made in order to produce and sell the new dryer. The company requires a return on investment of at least 25% on new products. Assuming that the company expects to produce and sell 30,000 dryers per year, the target cost per dryer would be closest to: A) $18.00 Projected sales (30,000 units × $40 per unit) ...................... $1,200,000 B) $35.00 Less desired profit (25% × $600,000) ................................. 150,000 C) $20.00 Target cost for 30,000 units ................................................. $1,050,000 D) $24.67 Target cost per unit ($1,050,000 ÷ 30,000 units)................. $35.00 29. Aldose Candy Company is implementing a target costing approach for its latest new product, the “Big Glob” candy bar. The following information relates to the Big Glob project: Target cost per candy bar .............................................. Expected annual sales (in units) of candy bars ............. Required investment in additional assets ...................... Desired return on investment ........................................ $0.30 400,000 $800,000 20% Based on this information, what is Aldose's target selling price per bar for the Big Glob? A) $0.46 (Expected annual sales in units × Target selling price) − (Desired return on investment × Required investment) B) $0.50 = (400,000 × Target selling price) − (20% × $800,000) = ($0.30 × 400,000) C) $0.55 = (400,000 × Target selling price) = $120,000 + $160,000 D) $0.70 = (400,000 × Target selling price) = $280,000 Target selling price = $0.70 30. The management of Giammarino Corporation is considering introducing a new product--a compact barbecue. At a selling price of $78 per unit, management projects sales of 10,000 units. Launching the barbecue as a new product would require an investment of $100,000. The desired return on investment is 11%. The target cost per barbecue is closest to: A) $86.58 Projected sales (10,000 units × $78 per unit) ...................... $780,000 B) $78.00 Less desired profit (11% × $100,000) ................................. 11,000 C) $76.90 Target cost for 10,000 units ................................................. $769,000 D) $85.36 Target cost per unit ($769,000 ÷ 10,000 units) ................... $76.90 31. Hanisch Corporation would like to use target costing for a new product it is considering introducing. At a selling price of $22 per unit, management projects sales of 50,000 units. The new product would require an investment of $400,000. The desired return on investment is 14%. The target cost per unit is closest to: Projected sales (50,000 units × $22 per unit) ...................... $1,100,000 A) $22.00 Less desired profit (14% × $400,000) ................................. 56,000 B) $23.80 Target cost for 50,000 units ................................................ $1,044,000 C) $20.88 Target cost per unit ($1,044,000 ÷ 50,000 units) ................ $20.88 D) $25.08 32. A new product, an automated crepe maker, is being introduced at Knutt Corporation. At a selling price of $59 per unit, management projects sales of 70,000 units. Launching the crepe maker as a new product would require an investment of $500,000. The desired return on investment is 12%. The target cost per crepe maker is closest to: Projected sales (70,000 units × $59 per unit)...................... $4,130,000 A) $59.00 Less desired profit (12% × $500,000) ................................ 60,000 B) $66.08 Target cost for 70,000 units ................................................ $4,070,000 C) $58.14 Target cost per unit ($4,070,000 ÷ 70,000 units) ................ $58.14 D) $65.12 Use the following to answer questions 33-35: Diercks Company makes a product with the following costs: Direct materials ............................................................ Direct labor ................................................................... Variable manufacturing overhead ................................ Fixed manufacturing overhead ..................................... Variable selling and administrative expenses ............... Fixed selling and administrative expenses ................... Per unit $22.30 $11.00 $1.70 Per year $1,360,800 $1.70 $733,600 The company uses the absorption costing approach to cost-plus pricing described in the text. The pricing calculations are based on budgeted production and sales of 56,000 units per year. The company has invested $400,000 in this product and expects a return on investment of 12%. Direct labor is a variable cost in this company. 33. The markup on absorption cost is closest to: A) 25.0% B) 114.2% C) 26.4% D) 12.0% The unit product cost is: Direct materials ................................................................................ Direct labor ...................................................................................... Variable manufacturing overhead .................................................... Fixed manufacturing overhead ($1,360,800 ÷ 56,000 units) ........... Unit product cost .............................................................................. $22.30 11.00 1.70 24.30 $59.30 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling & administrative expenses] ÷ [Unit product cost × Units sales] = [(12% × $400,000) + ($1.70 × 56,000 + $733,600)] ÷ [$59.30 × 56,000] = [$48,000 + $828,800] ÷ $3,320,800 = 26.4% 34. The selling price based on the absorption costing approach is closest to: A) $74.10 Markup percentage on absorption cost B) $74.96 = [(Required ROI × Investment) + Selling & administrative expenses] C) $44.24 ÷ [Unit product cost × Units sales] D) $93.66 = [(12% × $400,000) + ($1.70 × 56,000 + $733,600)] ÷ [$59.30 × 56,000] = [$48,000 + $828,800] ÷ $3,320,800 = 26.4% The unit product cost is: Direct materials ................................................................................ Direct labor ...................................................................................... Variable manufacturing overhead .................................................... Fixed manufacturing overhead ($1,360,800 ÷ 56,000 units) ........... Unit product cost .............................................................................. $22.30 11.00 1.70 24.30 $59.30 The target selling price is determined as follows: Unit product cost ................... $59.30 Markup--26.4%...................... 15.66 Target selling price ................ $74.96 35. If every 10% increase in price leads to an 11% decrease in quantity sold, the profit-maximizing price is closest to: A) $74.10 Price elasticity of demand B) $203.00 = ln(1 + %change in quantity sold)/ln(1 + %change in price) C) $201.51 = ln(1 + −11%)/ln(1 + 10%) = −1.22268 D) $192.18 Variable cost per unit = $22.30 + $11.00 + $1.70 +$1.70 = $36.70 Profit maximizing markup on variable cost = −1/(1 + ed) = −1/(1+(-1.22268)) = 4.4907 Profit-maximizing price = (1 + Profit-maximizing markup on variable cost)*Variable cost per unit = (1+4.4907)*$36.70 = (5.4907)*$36.70 = $201.51 Use the following to answer questions 36-37: Alsberg Corporation's vice president in charge of marketing believes that every 2% decrease in the selling price of one of the company's products would lead to a 3% increase in the product's total unit sales. The product's absorption costing unit product cost is $12.90. The variable production cost is $1.80 per unit and the variable selling and administrative cost is $2.20 per unit. 36. The product's price elasticity of demand as defined in the text is closest to: A) −1.46 Price elasticity of demand B) −1.77 = ln(1 + %change in quantity sold)/ln(1 + %change in price) C) −1.76 = ln(1 + 3%)/ln(1 + −2%) = −1.46 D) −1.32 37. The product's profit-maximizing price according to the formula in the text is closest to: A) $5.69 Price elasticity of demand B) $40.76 = ln(1 + %change in quantity sold)/ln(1 + %change in price) C) $6.95 = ln(1 + 3%)/ln(1 + −2%) = −1.4631 D) $12.64 Profit maximizing markup on variable cost = −1/(1 + ed) = −1/(1+(−1.4631)) = 2.16 Profit-maximizing price = (1+ Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 2.16)*$4.00 = (3.16)*$4.00 = $12.64 Use the following to answer questions 38-39: Boe Company's management believes that every 3% decrease in the selling price of one of the company's products would lead to a 9% increase in the product's total unit sales. The product's variable cost is $11.30 per unit. 38. The product's price elasticity of demand as defined in the text is closest to: A) −2.33 Price elasticity of demand B) −1.07 = ln(1 + %change in quantity sold)/ln(1 + %change in price) C) −2.83 = ln(1 + 9%)/ln(1 + −3%) = −2.83 D) −2.95 39. The product's profit-maximizing price according to the formula in the text is closest to: A) $17.46 Price elasticity of demand B) $183.77 = ln(1 + %change in quantity sold)/ln(1 + %change in price) C) $17.10 = ln(1 + 9%)/ln(1 + −3%) = −2.83 D) $19.81 Profit maximizing markup on variable cost = −1/(1 + ed) = −1/(1+(−2.83)) = 0.546 PM price = (1 + Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 0.546)*$11.30 = (1.546)*$11.30 = $17.46 Use the following to answer questions 40-41: Coco Company recently changed the selling price of one of its products. Data concerning sales for comparable periods before and after the price change are presented below. Selling Price Unit Sales $50.00 1,700 $47.00 1,900 The product's variable cost is $18.50 per unit. 40. The product's price elasticity of demand as defined in the text is closest to: A) −1.24 Percent change in price = ($47.00 − $50.00) ÷ $50.00 = −6% B) −2.59 Percent change in quantity sold = (1,700 − 1,900) ÷ 1,700 = 11.76% C) −1.30 Price elasticity of demand D) −1.80 = ln(1 + %change in quantity sold)/ln(1 + %change in price) = ln(1 + 11.76%)/ln(1 + −6%) = −1.80 41. The product's profit-maximizing price according to the formula in the text is closest to: A) $30.17 Percent change in price = ($47.00 − $50.00) ÷ $50.00 = −6% B) $94.72 Percent change in quantity sold = (1,700 − 1,900) ÷ 1,700 = 11.76% C) $79.77 Price elasticity of demand D) $41.70 = ln(1 + %change in quantity sold)/ln(1 + %change in price) = ln(1 + 11.76%)/ln(1 + −6%) = −1.7969 Profit maximizing markup on variable cost = -1/(1 + ed) = −1/(1+(−1.7969)) = 1.254 PM price = (1 + Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 1.254)*$18.50 = (2.254)*$18.50 = $41.70 Use the following to answer questions 42-44: Nance Company is about to introduce a new product. It is expected that the following costs would be incurred at an activity level of 40,000 units produced and sold each year: Per Unit Total Variable production costs ............................................. $10 Fixed production costs.................................................. $5 $200,000 Variable selling and administrative costs ..................... $2 Fixed selling and administrative costs .......................... $3 $120,000 Nance Company uses the absorption costing approach to cost-plus pricing as described in the text. 42. Assume that the company uses a markup of 75% in order to determine selling prices. The selling price for one unit of product would be: A) $21.00 The unit product cost is: The target selling price is determined as follows: B) $26.25 Variable production cost .............................................................. $10 Unit product cost ................... $15.00 C) $31.50 Fixed manufacturing overhead ($200,000 ÷ 40,000 units) .......... 5 Markup--75% ........................ 11.25 D) $35.00 Unit product cost ......................................................................... $15 Target selling price................ $26.25 43. Assume that the company has not yet determined a markup to use on the new product. The new product would require an investment of $1,200,000. The company requires a 25% rate of return on investment in all new products. The markup under the absorption costing approach would be closest to: A) 70.0% The unit product cost is: B) 50.0% Variable production cost ............................................................. $10 C) 83.3% Fixed manufacturing overhead ($200,000 ÷ 40,000 units) ......... 5 D) 63.3% Unit product cost ......................................................................... $15 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(25% × $1,200,000) + ($2.00 × 40,000 + $120,000)] ÷ [$15 × 40,000] = [$300,000 + $200,000] ÷ $600,000 = 83.3% 44. After introducing the product, the company finds that it has excess capacity. A foreign dealer has offered to purchase 5,000 units of the product at a special price of $21 per unit. This sale would not disturb regular business. If the special price is accepted on the 5,000 units, the effect on total profits for the year should be: Incremental revenue (5,000 units @ $21 per unit) .................................... $105,000 A) $45,000 increase Less incremental costs: B) $30,000 increase Variable production costs (5,000 units @ $10 per unit) ........................ 50,000 C) $5,000 increase Selling and administrative costs (5,000 units @ $2 per unit)................. 10,000 D) $26,250 decrease Total incremental cost ............................................................................... 60,000 Incremental net operating income ............................................................. $ 45,000 Use the following to answer questions 45-46: Diewold Company has just developed a new product. At an expected sales level of 50,000 units per year, the company anticipates that the following costs will be incurred: Per Unit Total Variable production costs ...................................... $16 Fixed production costs ........................................... $8 $400,000 Variable selling and administrative costs .............. $4 Fixed selling and administrative costs ................... $5 $250,000 Diewold Company uses the absorption costing approach to cost-plus pricing as described in the text. 45. The new product would require an investment of $1,500,000 on which the company would like to earn a return of 18%. The markup using the absorption costing approach would be: A) 72% The unit product cost is: B) 43.3% Variable production costs ............................................................ $16 C) 60% Fixed manufacturing overhead ($400,000 ÷ 50,000 units).......... 8 D) 22.5% Unit product cost ......................................................................... $24 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(18% × $1,500,000) + ($4.00 × 50,000 + $250,000)] ÷ [$24 × 50,000] = [$270,000 + $450,000] ÷ $1,200,000 = 60% 46. After introducing the new product, the company finds that it has excess capacity. A foreign dealer has offered to purchase 3,000 units at a special price of $26 per unit. This sale would not disturb regular business. If the special price is accepted on the 3,000 units, the company's overall net income for the year should: Incremental revenue (3,000 units @ $26 per unit) .................................... $78,000 A) increase by $6,000 Less incremental costs: B) decrease by $48,000 Variable production costs (3,000 units @ $16 per unit)......................... 48,000 C) decrease by $21,000 Selling and administrative (3,000 units @ $4 per unit) .......................... 12,000 D) increase by $18,000 Total incremental cost................................................................................ 60,000 Incremental net operating income.............................................................. $18,000 Use the following to answer questions 47-48: Eckley Company uses the absorption costing approach to cost-plus pricing as described in the text to set prices for its products. Based on budgeted sales of 49,000 units next year, the unit product cost of a particular product is $51.00. The company's selling and administrative expenses for this product are budgeted to be $1,009,400 in total for the year. The company has invested $240,000 in this product and expects a return on investment of 13%. 47. The markup on absorption cost for this product would be closest to: A) 53.4% Markup percentage on absorption cost B) 13.0% = [(Required ROI × Investment) + Selling and administrative expenses] C) 41.6% ÷ [Unit product cost × Units sales] D) 40.4% = [(13% × $240,000) + $1,009,400] ÷ [$51 × 49,000] = [$31,200 + $1,009,400] ÷ $2,499,000 = 41.6% 48. The selling price based on the absorption costing approach for this product would be closest to: A) $71.60 Markup percentage on absorption cost B) $57.63 = [(Required ROI × Investment) + Selling and administrative expenses] C) $101.41 ÷ [Unit product cost × Units sales] D) $72.24 = [(13% × $240,000) + $1,009,400] ÷ [$51 × 49,000] = [$31,200 + $1,009,400] ÷ $2,499,000 = 41.64% The target selling price is determined as follows: Unit product cost.................... $51.00 Markup--41.64% .................... 21.24 Target selling price ................ $72.24 Use the following to answer questions 50-52: The management of Musselman Corporation would like to set the selling price on a new product using the absorption costing approach to cost-plus pricing. The company's accounting department has supplied the following estimates for the new product: Direct materials ...................................................................... Direct labor ............................................................................ Variable manufacturing overhead .......................................... Fixed annual manufacturing overhead ................................... Variable selling and administrative expenses ........................ Fixed annual selling and administrative expenses ................. Per Unit $27 $16 $8 Total Management plans to produce and sell 9,000 units of the new product annually. The new product would require an investment of $1,305,000 and has a required return on investment of 10%. $216,000 $3 $72,000 49. The absorption costing unit product cost is: A) $51 The unit product cost is: B) $54 Direct materials ........................................................................... C) $75 Direct labor .................................................................................. D) $86 Variable manufacturing overhead ............................................... Fixed manufacturing overhead ($216,000 ÷ 9,000 units) ............ Unit product cost ......................................................................... $27 16 8 24 $75 50. To the nearest whole percent, the markup percentage on absorption cost is: A) 25% B) 34% C) 15% D) 10% The unit product cost is: Direct materials ........................................................................... Direct labor ................................................................................. Variable manufacturing overhead ............................................... Fixed manufacturing overhead ($216,000 ÷ 9,000 units) ........... Unit product cost ......................................................................... $27 16 8 24 $75 Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(10% × $1,305,000) + ($3.00 × 9,000 + $72,000)] ÷ [$75 × 9,000] = [$130,500 + $99,000] ÷ $675,000 = 34% 51. The unit target selling price using the absorption costing approach is closet to: A) $115 The unit product cost is: B) $86 Direct materials ........................................................................... C) $101 Direct labor .................................................................................. D) $83 Variable manufacturing overhead ............................................... Fixed manufacturing overhead ($216,000 ÷ 9,000 units)............ Unit product cost ......................................................................... Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(10% × $1,305,000) + ($3.00 × 9,000 + $72,000)] ÷ [$75 × 9,000] = [$130,500 + $99,000] ÷ $675,000 = 34% $27 16 8 24 $75 The target selling price is determined as follows: Unit product cost ................... $ 75 Markup--34% ........................ 26 Target selling price................ $101 Use the following to answer questions 52-53: Wenner Corporation would like to use target costing for a new product it is considering introducing. At a selling price of $44 per unit, management projects sales of 10,000 units. The new product would require an investment of $900,000. The desired return on investment is 10%. 52. The desired profit according to the target costing calculations is: A) $90,000 B) $350,000 Desired profit = 10% × $900,000 = $90,000 C) $44,000 D) $440,000 Projected sales (10,000 units × $44 per unit) ...................... Less desired profit (10% × $900,000)................................. 53. The target cost per unit is closest to: Target cost for 10,000 units ................................................ A) $44.00 C) $48.40 Target cost per unit ($350,000 ÷ 10,000 units) ................... B) $38.50 D) $35.00 $440,000 90,000 $350,000 $35.00 Use the following to answer questions 54-55: The management of Rademacher Corporation is considering introducing a new product--a compact lawn blower. At a selling price of $24 per unit, management projects sales of 30,000 units. The lawn blower would require an investment of $200,000. The desired return on investment is 12%. 54. The desired profit according to the target costing calculations is: A) $696,000 Desired profit = 12% × $200,000 = $24,000 B) $24,000 C) $86,400 D) $720,000 55. The target cost per lawn blower is closest to: A) $24.00 Desired profit = 12% × $200,000 = $24,000 B) $23.20 Projected sales (30,000 units × $24 per unit) ...................... C) $26.88 Less desired profit (12% × $200,000) ................................. D) $25.98 Target cost for 30,000 units ................................................. Target cost per unit ($696,000 ÷ 30,000 units) ................... $720,000 24,000 $696,000 $23.20 Essay Questions 57. Quickel Company makes a product that has the following costs: Per unit Direct materials............................................................. $10.30 Direct labor ................................................................... $10.40 Variable manufacturing overhead................................. $1.60 Fixed manufacturing overhead ..................................... Variable selling and administrative expenses ............... $1.80 Fixed selling and administrative expenses.................... Per year $429,000 $495,000 The company uses the absorption costing approach to cost-plus pricing as described in the text. The pricing calculations are based on budgeted production and sales of 33,000 units per year. The company has invested $100,000 in this product and expects a return on investment of 12%. Required: a. Compute the markup on absorption cost. b. Compute the selling price of the product using the absorption costing approach. c. Assume that every 10% increase in price leads to a 16% decrease in quantity sold. Assuming no change in cost structure and that direct labor is a variable cost, compute the profit-maximizing price. Answer: a. Markup on absorption cost Direct materials................................................ $10.30 = [(12% × $100,000) + ($1.80 × 33,000 + $495,000)] ÷ ($35.30 × 33,000) Direct labor ...................................................... 10.40 = [($12,000) + ($554,400)] ÷ $1,164,900 = 48.62% Variable manufacturing overhead.................... Fixed manufacturing overhead ........................ Unit product cost.............................................. 1.60 13.00 $35.30 b. Target selling price = $35.30 + 48.62% × $35.30 = $52.46 c. Price elasticity of demand = ln(1 + % change in quantity sold)/ln(1 + % change in price) = ln(1 + −16%)/ln(1 + 10%) = −1.83 Profit maximizing markup on variable cost = −1/(1 + ed) = −1/(1 + (−1.83)) = 1.2058 Profit-maximizing price = (1 + Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 1.2058)*$24.10 = (2.2058)*$24.10 = $53.16 58. Nicely Corporation's marketing manager believes that every 2% decrease in the selling price of one of the company's products would lead to a 3% increase in the product's total unit sales. The product's absorption costing unit product cost is $23.20. The variable production cost is $1.80 per unit and the variable selling and administrative cost is $1.30. Required: a. Compute the product's price elasticity of demand as defined in the text. b. Compute the product's profit-maximizing price according to the formula in the text. Answer: a. Price elasticity of demand = ln(1 + %change in quantity sold)/ln(1 + %change in price) = ln(1 + 3%)/ln(1 + −2%) = −1.46 b. Profit maximizing markup on variable cost = -1/(1+ed) = -1/(1+(-1.46)) = 2.16 Profit-maximizing price = (1+ Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 2.16)*($1.30 +$1.80) = (3.16)*$3.10 = $9.79 59. Pasley Corporation recently changed the selling price of one of its products. Data concerning sales for comparable periods before and after the price change are presented below. The product's variable cost is $22.10 per unit. Selling Price Unit Sales $78.00 6,500 $82.00 6,060 Required: a. Compute the product's price elasticity of demand as defined in the text. b. Compute the product's profit-maximizing price according to the formula in the text. Answer: a. % change in quantity = -6.77% % change in price = 5.13% Price elasticity of demand = ln(1 + %change in quantity sold)/ln(1 + %change in price) = ln(1 + −6.77%)/ln(1 + 5.13%) = −1.40 b. Profit maximizing markup on variable cost = −1/(1 + ed) = -1/(1+(−1.40)) = 2.49 Profit-maximizing price = (1 + Profit-maximizing markup on variable cost)*Variable cost per unit = (1 + 2.49)*$22.10 = (3.49)*$22.10 = $77.1 60. Robak Corporation manufactures a product that has the following costs: Per unit Per year Direct materials............................................................. $15.40 Direct labor ................................................................... $17.90 Variable manufacturing overhead................................. $1.20 Fixed manufacturing overhead ..................................... $580,800 Variable selling and administrative expenses ............... $2.00 Fixed selling and administrative expenses.................... $919,600 The company uses the absorption costing approach to cost-plus pricing as described in the text. The pricing calculations are based on budgeted production and sales of 44,000 units per year. The company has invested $160,000 in this product and expects a return on investment of 13%. Required: a. Compute the markup on absorption cost. b. Compute the selling price of the product using the absorption costing approach. Answer: a. Direct materials ............................................... Direct labor ...................................................... Variable manufacturing overhead ................... Fixed manufacturing overhead ........................ Unit product cost ............................................. $15.40 17.90 1.20 13.20 $47.70 Markup on absorption cost = [(13% × $160,000) + ($2.00 × 44,000 + $919,600)] ÷ ($47.70 × 44,000) = [($20,800) + ($1,007,600)] ÷ $2,098,800 = 49.00% b. Target selling price = $47.70 + 49.00% × $47.70 = $71.07 61. The management of Landstrom Corporation would like to set the selling price on a new product using the absorption costing approach to cost-plus pricing. The company's accounting department has supplied the following estimates for the new product: Direct materials....................................................................... Direct labor ............................................................................. Variable manufacturing overhead........................................... Fixed annual manufacturing overhead .................................... Variable selling and administrative expenses ......................... Fixed annual selling and administrative expenses .................. Per Unit $28 $12 $9 Total $132,000 $4 $30,000 Management plans to produce and sell 6,000 units of the new product annually. The new product would require an investment of $1,036,200 and has a required return on investment of 10%. Required: a. Determine the unit product cost for the new product. b. Determine the markup percentage on absorption cost for the new product. c. Determine the target selling price for the new product using the absorption costing approach. Answer: a. The unit product cost is: Direct materials ........................................................................... Direct labor.................................................................................. Variable manufacturing overhead ............................................... Fixed manufacturing overhead ($132,000 ÷ 6,000 units) ........... Unit product cost ......................................................................... c. The target selling price is determined as follows: Unit product cost ............... $71.00 Markup--37% .................... 26.27 Target selling price ............ $97.27 $28 12 9 22 $71 b. Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(10% × $1,036,200) + ($4.00 × 6,000 + $30,000)] ÷ [$71 × 6,000] = 37% 62. Bohmker Corporation is introducing a new product whose direct materials cost is $25 per unit, direct labor cost is $13 per unit, variable manufacturing overhead is $9 per unit, and variable selling and administrative expense is $4 per unit. The annual fixed manufacturing overhead associated with the product is $18,000 and its annual fixed selling and administrative expense is $9,000. Management plans to produce and sell 1,000 units of the new product annually. The new product would require an investment of $110,500 and has a required return on investment of 10%. Management would like to set the selling price on a new product using the absorption costing approach to cost-plus pricing. Required: a. Determine the unit product cost for the new product. b. Determine the markup percentage on absorption cost for the new product. c. Determine the target selling price for the new product using the absorption costing approach. Answer: a. The unit product cost is: Direct materials ................................................................................ Direct labor....................................................................................... Variable manufacturing overhead .................................................... Fixed manufacturing overhead ($18,000 ÷ 1,000 units) .................. Unit product cost .............................................................................. b. Markup percentage on absorption cost = [(Required ROI × Investment) + Selling and administrative expenses] ÷ [Unit product cost × Units sales] = [(10% × $110,500) + ($4.00 × 1,000 + $9,000)] ÷ [$65 × 1,000] = 37% $25 13 9 18 $65 c. The target selling price is determined as follows: Unit product cost ............... $65.00 Markup--37% .................... 24.05 Target selling price ............ $89.05 63. Lodholz Corporation would like to use target costing for a new product that is under consideration. At a selling price of $93 per unit, management projects sales of 10,000 units. The new product would require an investment of $900,000. The desired return on investment is 17%. Required: Determine the target cost per unit for the new product. Projected sales (10,000 units × $93 per unit)...................... Less desired profit (17% × $900,000) ................................ Target cost for 10,000 units ................................................ Target cost per unit ($777,000 ÷ 10,000 units)................... $930,000 153,000 $777,000 $77.70 64. The management of Thebeau, Inc., is considering a new product that would have a selling price of $72 per unit and projected sales of 40,000 units. The new product would require an investment of $600,000. The desired return on investment is 19%. Required: Determine the target cost per unit for the new product. Projected sales (40,000 units × $72 per unit)...................... Less desired profit (19% × $600,000) ................................ Target cost for 40,000 units ................................................ Target cost per unit ($2,766,000 ÷ 40,000 units) ................ $2,880,000 114,000 $2,766,000 $69.15 65. Management of Niemczyk Corporation is considering a new product–an outside speaker–that would have a selling price of $31 per unit and projected sales of 10,000 units. Launching the new product would require an investment of $700,000. The desired return on investment is 16%. Required: Determine the target cost per unit for the outdoor speaker. Projected sales (10,000 units × $31 per unit)................ Less desired profit (16% × $700,000) .......................... Target cost for 10,000 units .......................................... Target cost per unit ($198,000 ÷ 10,000 units)............. $310,000 112,000 $198,000 $19.80