ACCT 2302 Fundamentals of Accounting II Spring 2011 Lecture 5 Professor Jeff Yu Review: Job-order costing vs. Process costing A firm making built-to-order products typically use ___________ costing. A firm mass-producing a single product typically use _________ costing. Under job-order costing, product costs are accumulated by _______ to get the average product cost for each unit. Under process costing, product costs are accumulated by _______ to get the average product cost for each unit. Service companies typically use ______________ costing. Both job-order costing and process costing are _______ costing systems. Review: MOH Application in job-order costing Manufacturing overhead is applied (allocated) to individual jobs (work-in-process) based on a ___________ rate (POHR). At the ________ of the period, calculate: POHR = Estimated total MOH cost / __________ total activity level ________ the period, calculate: Applied MOH = POHR * ________ activity level At the _______ of the period, calculate: _______ MOH - Applied MOH to determine whether MOH was underapplied or overapplied. Review: Job-Order Costing 1. If Applied MOH>Actual MOH, then MOH is ________ for the period. If Applied MOH<Actual MOH, then MOH is __________ for the period. 2. What is the journal entry to apply MOH to jobs during the period? 3. What is the adjusting journal entry to close the overapplied (underapplied) MOH to CGS at the end of the period? Review: Product Cost Flow in Job-order Costing Direct Materials Direct Labor Applied MOH Work-in-Process (JOB) Finished Goods Cost of Goods Sold Thought Questions 1. What effect will the year-end adjustment of overapplied MOH have on a firm’s Cost of Goods Sold? Gross Margin? Net operating income? (choices: increase, decrease or unaffected) 2. What effect will the year-end adjustment of underapplied MOH have on a firm’s Cost of Goods Sold? Gross Margin? Net operating income? Chapter 5: Cost Behavior Objectives: • Introduce further classification of Variable costs and Fixed costs • Analyze Mixed Costs • Discuss High-Low Method and Cost Function • Discuss the contribution format income statement (Contribution Approach) Review: The Activity Base (Cost Driver) Units produced Machine hours A measure of what causes the incurrence of a variable cost Miles driven Labor hours Review: Relevant Range Total Cost Economist’s Curvilinear Cost Function Relevant Range A straight line closely approximates a curvilinear variable cost line within the relevant range. Accountant’s Straight-Line Approximation (constant unit variable cost) Activity Review: Cost Behavior Within the Relevant Range, how will each of the following cost change as activity level increases (decreases)? In Total Variable Cost Fixed Cost Per Unit True Variable Cost DM Cost For example, Direct Material is typically a true variable cost because the amount used during a period will vary in direct proportion to the level of production activity. Units Produced Step-Variable Cost Cost Costs increase or decrease only in response to fairly wide changes in activity. Volume Step-Variable Cost Total cost increases to a new higher cost for the next higher range of activity Cost Total cost remains constant within a narrow range of activity Activity Fixed Cost: Two types Committed Fixed Cost Discretionary Fixed Cost Long-term, cannot be significantly reduced in the short term. May be altered in the short-term by current managerial decisions Examples Examples Depreciation on Equipment; Advertising; R&D; Real Estate Taxes Management Development program Mixed Cost A mixed cost has both fixed and variable components. Consider the example of utility cost. Total Utility Cost Y Variable Cost based on the usage Activity (Kilowatt Hours) X Fixed Monthly Utility Charge Mixed Cost The total mixed cost line can be expressed as an equation: Y = a + bX Where: Total Utility Cost Y Activity (Kilowatt Hours) Y = the total mixed cost a = the total fixed cost (the vertical intercept of the line) b = the variable cost per unit of activity (the slope of the line) X = the level of activity X Mixed Cost Example TXU charges a fixed monthly fee of $20 plus $0.1 per kilowatt hour. In March you used 2,000 kilowatt hours. Q: 1) What is the amount of your electricity bill for March? 2) What is the average cost per kilowatt hours for March? 3) What will be the average cost per kilowatt hours for April if you only use 1,000 kilowatt hours? Practice…Hospital Costs True variable, step variable, mixed, discretionary fixed or committed fixed? • • • • Spending on medical student internship Nursing supervisor salaries – supervisor needed for every 10 nursing personnel Operating costs of x-ray equipment ($95,000 per year plus $3 per film) Insurance for all full time employees Cost Function Y = a + bX Total Cost Total Fixed Costs Activity Level (Cost Driver) Variable Cost per Unit Q: what can we say about a and b for each of the costs below 1) True variable cost; 2) Fixed Cost; 3) Mixed Cost Example For each of the costs below, please specify whether it is a Fixed Cost, True Variable Cost, Mixed Cost, or Step Variable Cost? Activity Level within relevant range 100 Units 200 Units 250 Units Cost A $200 $400 $500 Cost B $350 $550 $650 Cost C $300 $300 $600 Cost D $150 $150 $150 Estimate Cost Function: the High-low Method (1) Choose the two data points with the highest- and the lowest- activity level: (XH, YH), (XL,YL) (2) Set up the equations: YH = a + b XH YL = a + b XL (3) Solve the equation for “a” (total fixed cost) and “b” (VC per unit): b = (YH-YL)/(XH-XL) = change in cost / change in activity a = YL – b*XL Example Sebolt recorded the following activity and costs for 4 quarters: Quarter Units produced Total cost 1 110 $5500 2 90 $4500 3 130 $6000 4 40 $2400 (1) Using the high-low method, estimate a cost function in the form of Y=a+bX (2) What is total fixed cost and per unit variable cost? (3) What will be the total cost if we increase the production level to 150 units? For Next Class Complete assigned readings We will finish Chapter 5 with the contribution format income statement, and start Chapter 6: CVP analysis Attempt the assigned HW problems We will work on a lot of problems next class! Homework Problem 1 Neptune Rental operates a boat rental service and its relevant range is 5,000 to 8,000 hours of operating time. When the boats were operated for 6,000 hours, Neptune’s total costs were $192,000, among which $168,000 was total fixed cost. Q: If it is estimated that on Saturday the boats will be operated for 8,000 hours, what will be the estimated average cost per hour? Homework Problem 2 Comparative income statements for Boggs Co. for the last two months are presented below. July August Sales in units 11,000 10,000 Sales $165,000 $150,000 Cost of goods sold 72,600 66,000 Gross margin 92,400 84,000 Selling and administrative expenses: Rent 12,000 12,000 Sales commissions 13,200 12,000 Maintenance expenses 13,500 13,000 Clerical expense 16,000 15,000 Total selling and administrative expense 54,700 52,000 Net operating income $ 37,700 $ 32,000 Q: Identify each of the expenses above as either fixed, true variable or mixed (assume there is no step variable cost). Homework Problem 3 Bakeman Corporation has provided the following production and average cost data for two levels (highest and lowest) of monthly production volume. The company produces a single product. 2,000 units 3,000 units Average DM cost $36.10 per unit $36.10 per unit Average DL cost $48.00 per unit $48.00 per unit Average MOH cost $51.00 per unit $40.90 per unit Q: 1) Identify the cost behavior of DM, DL and MOH as fixed, true variable or mixed. 2) What is the best estimate of Variable MOH cost per unit? 3) What is the cost function for total manufacturing cost? Homework Problem 4 Golden Co’s MOH costs consists of utilities (true variable), supervisory salaries (fixed) and maintenance (mixed). At 40,000 machine hours, the breakdown of overhead costs are $52,000 for utilities, $60,000 for supervisory salaries and $58,200 for maintenance. Month Machine Hours Total MOH cost March 50,000 $194,000 April 40,000 $170,200 May 60,000 $217,800 June 70,000 $241,600 (1) How much of the $241,600 MOH cost in June was maintenance cost? (2) Use high-low method to estimate cost function of maintenance cost. (3) Use high-low method to estimate cost function of total MOH cost.