Chapter 17 - Additional Topics in Variance Analysis 17-15 (15 min.) Variable Cost Variances: Materials Purchased And Used Are Not Equal: Golden Company. Flexible Budget Actual Inputs at (Standard Actual Price Standard Efficiency Allowed for Costs Variance Price Variance Good Output) Purchase $175,000 $172,000 Computations $3,000 U $8 x 14,000 = $112,000 $111,000 Usage Computations $1,000 F 17-16 (15 min.) Industry Volume And Market Share Variances: Kay’s Auto Products. Flexible Budget (SCM x AQ) Market Share Variance Standard Contribution Margin Times Budgeted Market Share Times Actual Industry Volume Industry Volume Variance Master Budget (SCM x SQ) (SCM x ASQ) $4 x 45,000 $4 x 20% x 300,000 = $180,000 = $240,000 $4 x 20% x 250,000 = $200,000 $60,000 U $40,000 F $20,000 U 17-1 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-19 (20 min.) Sales Mix And Quantity Variances: AAA Electronics. a. and b. The actual prices are not relevant here. The mix and quantity variances are based on standard (budgeted) contribution margin per unit. Flexible Budget AQ x (SP – SV) Mix Variance ASQ x (SP – SV) Quantity Variance Master Budget 15,000 x ($120 - $50) 23,000 x (20,000/25,000) x ($120 - $50) 20,000 x ($120 - $50) + 8,000 x ($260 - $100) +23,000 x (5,000/25,000) x ($260 - $100) + 5,000 x ($260 - $100) = $2,330,000 = $2,024,000 = $2,200,000 $306,000 F $176,000 U $130,000 F Activity Variance 17-2 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-22 (35 min.) Materials Mix and Yield Variances: Huron Group. a. and b. Efficiency Variance Actual (AP x AQ) Purchase Price Variance Material: Twin $18 x kle 44,000 = $792,000 (SP x AQ) Mix Variance $20 x 44,000 = $880,000 $88,000 F (SP x ASQ) Yield Variance Flexible Production Budget (SP x SQ) $20 x (1/3 x 120,000) $20 x (20 x 2,000) = $20 x 40,000 = $20 x 40,000 = $800,000 = $800,000 $80,000 U $-0- Efficiency Variance = $80,000 U Sta r $32 x 76,000 = $2,432,000 $30 x 76,000 = $2,280,000 $152,000 U $30 x (2/3 x 120,000) $30 x (40 x 2,000) = $30 x 80,000 = $30 x 80,000 = $2,400,000 = $2,400,000 $120,000 F $-0- Efficiency Variance = $120,000 F Tot al $3,224,000 $3,160,000 $64,000 U $3,200,000 $40,000 F = $3,200,000 $-0- Efficiency Variance = $40,000 F Production of 2,000 units should require 120,000 units of input (= 2,000 x 20 + 2,000 x 40). Actual usage was 120,000 units (= 44,000 + 76,000), so there was no yield variance. 17-3 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-24 (35 min.) Labor Mix and Yield Variance: Matt’s Eat ‘N Run. a. and b. Efficiency Variance Actual (AP x AQ) Labor: Skilled Purchase Price Variance $125,000 (SP x AQ) Mix Variance $20 x 6,000 = $120,000 $5,000 U (SP x ASQ) Yield Variance Flexible Production Budget (SP x SQ) $20 x (0.25 x 21,000) $20 x (2/60 x 180,000) = $20 x 5,250 = $20 x 6,000 = $105,000 = $120,000 $15,000 U $15,000 F Efficiency Variance = $-0- Unskill ed $240,000 $10 x 15,000 = $150,000 $10 x (0.75 x 21,000) = $10 x 15,750 = $157,500 $7,500 F $90,000 U $10 x (6/60 x 180,000) = $10 x 18,000 = $180,000 $22,500 F Efficiency Variance = $30,000 F Total $365,000 $270,000 $262,500 $95,000 U $7,500 U = $300,000 $37,500 F Efficiency Variance = $30,000 F 17-4 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-25 (10 min.) Flexible Budgeting—Service Organization: Lowe & Rent. Flexible Budget (based on actual of 6,900 hours) Revenue ........................ Costs: Professional salaries ... Other variable costs .... Fixed costs .................. Total costs................. Profit .............................. $862,500a 431,250b 117,300c 180,000d $728,550 $133,950 a 6,900 hrs. x $750,000 6,000 hrs. b 6,900 hrs. $431,250 = x $375,000 6,000 hrs. c 6,900 hrs. $117,300 = x $102,000 6,000 hrs. d $180,000 = Master budget fixed costs $862,500 = 17-5 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-26 (20 min.) Sales Activity Variance—Service Organization: Lowe & Rent. Flexible Budget (based on actual of 6,900 hours) Revenue ........................... Costs: Professional salaries ...... Other variable costs ....... Fixed costs ..................... Total costs ................... Profit ................................. Master Budget (based on budgeted 6,000 hours) Sales Activity Varianc e $862,50 0 $112,5 00 F $750,000 431,250 117,300 180,000 $728,55 0 $133,95 0 56,250 U 15,300 U _______ $71,55 U 0 $ F 40,950 375,000 102,000 180,000 $657,000 $ 93,000 17-6 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-27 (30 min.) Profit Variance Analysis—Service Organization: Lowe & Rent. (1) (2) (3) (4) Actual (6,900 hrs.) Revenue ........... Professional salaries ............. Other variable costs ................. Fixed costs ....... Profit ................. $825,00 0 465,000 108,000 174,000 $ 78,000 Cost Variance s $33,750 U 9,300 F 6,000 F $18,450 U Price Varianc es $37,50 0U (5) Flexible Budget (6,900 hrs.) Sales Activity Variance $862,500 $112,50 0F 56,250 U 15,300 U 431,250 117,300 180,000 $37,50 0U $ 133,950 (6) Master Budget (6,000 hrs.) $750,00 0 375,000 102,000 180,000 $ 40,950 F $ 93,000 17-7 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-28 (20 min.) Sales Price and Activity Variances: Dylan & Father. Actual (AP x AQ) Partner Price Variance $3,612,000 Flexible Budget (SP x AQ) $770 x 4,800 hours = $3,696,000 $84,000 U Staff $3,738,000 $182 x 20,400 hours = $3,712,800 $25,200 F Flexible Budget AQ x (SP – SV) Master Budget Mix Variance 4,800 x ($770 - $364) + 20,400 x ($182 $98) = (SP – SV) x ASQ Quantity Variance a SQ x (SP – SV) [$406 x (5,100 ÷ 25,890) x 25,200] + b [($84 x (20,790 ÷ 25,890) x 25,200] 5,100 x $406 + 20,790 x $84 = $3,715,233 = $3,816,960 $3,662,400 $52,833 U $101,727 U $154,560 U Activity Variance a $406 = $770 – $364. b $84 = $182 – $98. 17-8 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-31 (20 min.) Sales Mix And Quantity Variances: Mattie’s Vineyards. a. Price Variance = (Actual Price − Budgeted Price) x Actual Quantity: Price = (Actual Price − Budgeted Price) x Actual Quantity Variety: Variance Sauvignon $2,000 F = ($7.25 − $7.00) x 8,000 Blanc Chardonnay 900 U = ($8.10 − $8.25) x 6,000 Riesling 3,850 F = ($7.10 − $6.75) x 11,000 $4,950 F b. and c. The actual prices are not relevant here. The mix and quantity variances are based on standard (budgeted) contribution margin per unit. Flexible Budget AQ x (SP – SV) Mix Variance ASQ x (SP – SV) Quantity Variance Master Budget 8,000 x ($7.00 - $5.00) 25,000 x (10,400/26,000) x ($7.00 - $5.00) 10,400 x ($7.00 - $5.00) + 6,000 x ($8.25 - $6.00) + 25,000 x (3,900/26,000) x ($8.25 - $6.00) + 3,900 x ($8.25 - $6.00) + 11,000 x ($6.75 - $4.75) + 25,000 x (11,700/26,000) x ($6.75 - $4.75) + 11,700 x ($6.75 - $4.75) = $51,500.00 = $50,937.50 = $52,975.00 $562.50 F $2,037.50 U $1,475 U Activity Variance 17-9 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-32 (40 min.) Analyze Performance for a Restaurant: Doug’s Diner. Hint for working the problem: Use sales revenue as the basis for measuring volume. ($000) Actual Sales revenuea ............... $1,20 0 Variable costs: Purchases .................... 780 Hourly wages................ Franchise fee................ Utilities .......................... Purchases Variances Contribution margin ........ $248 Fixed costs: ................... Advertising .................. 100 Depreciation ................ 50 Lease .......................... 30 Salaries ....................... 30 Total fixed costs.............. $210 Operating profit ............... $ 38 Flexible Budget Acti Varia $1,20 0 $60 U 60 36 76 Total variable costs......... $952 Marketing & Administrati ve Variances $60 U $60 U $60 U 720 $8 F $8 F $8 F $8 F 60 36 84 $2 b c d e 120 10 6 14 $900 $ 1 $300 $ 100 50 30 30 $ 210 $ 90 Notes on the following page. 17-10 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. $ Chapter 17 - Additional Topics in Variance Analysis 17-32. (continued) a Sales revenue is used as the basis of volume measurement because there are no price changes. b $600 $1,200 $1,00 x 0 c $50 $1,200 x $1,00 0 d $30 $1,200 $1,00 x 0 e $70 $1,200 x $1,00 0 17-11 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-36 Revenue Analysis Using Industry Data and Multiple Product Lines: Peninsula Candy Co. a. Sales price and activity variances. (AP – SV) x AQ Flexible budget (SP – SV) x AQ Master budget (SP – SV) x SQ $1,162 – $915b = $247 (1,600 x $0.03a) + (2,000 x $0.04) + (4,200 x $0.035) = $275 $1,200 – $920 = $280 a Unit $28 U $5 U Sales price variance Sales activity variance contribution margins calculated from master budget panel as follows: Unit margin = Contribution margin ÷ Sales units. b $915 = [1,600 x ($140 ÷ 2,000) + 2,000 x ($320 ÷ 2,000) + 4,200 x ($460 ÷ 4,000)]. b. Two solutions are possible when calculating the market share variance, depending upon the figure used for the left column. The examples in the text use the flexible budget amount. However, those examples involve only one product, whereas this problem has three products, and therefore a mix issue is present. In this situation, another way to solve the problem would be to use the standard price times the actual quantities at the standard mix. Both alternatives are given on the following page. 17-12 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-36b. (continued) Contribution margin variance Actual Quantities at Standard Mix and Standard Prices Industry Effect $280 x (76,000 ÷ 80,000) = $266 $273a Master Budget $280 $7 F $14 U Market Share Variance Industry Variance $7 U Quantity Variance Flexible Budget $275 Industry Effect $266 $9 F Master Budget $280 $14 U $5 U Activity Variance The $2 difference in the market share variance is explained by the difference in the mix. a $273 = [7,800 x (2,000 ÷ 8,000) x ($60 ÷ 2,000) + 7,800 x (2,000 ÷ 8,000) x ($80 ÷ 2,000) + 7,800 x (4,000 ÷ 8,000) x ($140 ÷ 4,000)]. A shortcut is to multiply the actual number of bars by the average contribution margin per bar in the master budget: 7,800 bars x ($280 ÷ 8,000 bars) = $273. 17-13 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-37 (20 min.) Sales Mix And Quantity Variances: Peninsula Candy Co. Mix Quantity Flexible Budget Varian Variance ce (SP – SV) x AQ (SP – SV) x ASQ (1,600 x $0.03) (7,800 2,0 x x 00 $0.03) 8,0 00 + (2,000 x + (7,800 2,0 x $0.04) x 00 $0.04) 8,0 00 + (4,200 x + (7,800 4,0 x $0.035) x 00 $0.035) 8,0 00 = $275 = $273 $2 F Master Budget (SP – SV) x SQ (2,000 x $0.03) + (2,000 x $0.04) + (4,000 x $0.035) = $280 $7 U $5 U Activity Variance 17-14 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-38 (45 min.) Materials Mix And Yield Variances: Houston Corporation. a. and b. Efficiency Variance Actual Material Purchase (AP x Price AQ) Variance Flexible Mix (SP x AQ) Variance Z-Alpha $423,360 (SP x ASQ) a $9 x (.48 x Yield Production Variance Budget $9 x 104,400) = 50,400 = $9 x 50,112 = $9 x (600 x 80) $453,600 $451,008 = $432,000 $30,240 F $2,592 U $19,008 U $21,600 U a $12 x (.36 x Z-Beta $400,464 $12 x 104,400) = 37,040 = $12 x 37,584 $12 x (450 x 80) $444,480 = $451,008 = $432,000 $44,016 F $6,528 F $19,008 U $12,480 U Z-Gamma a $24 x (.16 x $24 x $417,216 $10,176 U 16,960 104,400) = = $24 x 16,704 $24 x (200 x 80) $407,040 = $400,896 = $384,000 $6,144 U $16,896 U $23,040 U a Standard mix: .48 = 600 ÷ 1,250; .36 = 450 ÷ 1,250; .16 = 200 ÷ 1,250. 17-15 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. Chapter 17 - Additional Topics in Variance Analysis 17-38. (continued) Efficiency Variance Purchase Flexible Price Actual Total Variance $1,241,040 Mix (SP x AQ) Variance $1,305,120 $64,080 F (SP x ASQ) Yield Production Variance Budget $1,302,912 $2,208 U $1,248,000 $54,912 U $57,120 U 17-16 © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part.