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Introduction to Management Accounting Introduction to Management Accounting Chapter 6 Relevant Information for Decision Making with a Focus on Operational Decisions Company went from a small, two person, operation to a company with sales of over $60 million They became profitable after they got out of distribution and changed their marketing approach They contracted with existing beverage co-packers to limit their capital expenditures They now are able to carefully scrutinize all of their costs through an Enterprise Resource Planning system that was developed by Oracle All companies make similar production decision Company went from a small, two person, operation to a company with sales of over $60 million They became profitable after they got out of distribution and changed their marketing approach They contracted with existing beverage co-packers to limit their capital expenditures They now are able to carefully scrutinize all of their costs through an Enterprise Resource Planning system that was developed by Oracle All companies make similar production decision Learning Objective 1 Opportunity, Outlay, and Differential Costs Differential cost is the difference in total cost between two alternatives. Differential revenue is the difference in total revenue between two alternatives. Incremental cost are additional costs or reduced benefits generated by the proposed alternative. Incremental benefits are the additional revenues or reduced costs generated by the proposed alternative. Opportunity, Outlay, and Differential Costs An incremental analysis is an analysis of the additional costs and benefits of a proposed alternative. An opportunity cost is the maximum available contribution to profit forgone (or passed up) by using limited resources for a particular purpose. An outlay cost requires a cash disbursement. Opportunity, Outlay, and Differential Costs Nantucket Nectars has a machine for which it paid $100,000 and it is sitting idle. Nantucket Nectars has three alternatives: 1. Increase production of Peach juice 2. Sell the machine 3. Produce a new drink Papaya Mango Opportunity Cost Peach Juice Contribution margin is $60,000. Sell machine for $50,000. Produce Papaya Mango juice with projected sales of $500,000. Revenue Costs: Outlay Costs Financial benefit before opportunity costs Opportunity cost of machine Net financial benefit $500,000 400,000 $100,000 60,000 $ 40,000 Learning Objective 2 Make-or-Buy Decisions Managers often must decide whether to produce a product or service within the firm or purchase it from an outside supplier. Make or Buy Decisions Nantucket Nectars Company’s Cost of Making 12-ounce Bottles Direct material $ 60,000 Direct labor 20,000 Variable factory overhead 40,000 Fixed factory overhead 80,000 Total costs $200,000 $.06 .02 .04 .08 $.20 Make-or-Buy Example Another manufacturer offers to sell Nantucket the bottles for $.18. If the company buys the bottles, $50,000 of fixed overhead would be eliminated. Should Nantucket make or buy the bottles? Relevant Cost Comparison Buy Make Total Purchase cost Direct material Direct labor Variable overhead Fixed OH avoided by not making Total relevant costs Difference in favor of making Per Bottle $ 60,000 20,000 40,000 $.06 .02 .04 50,000 $170,000 .05 $.17 $ 10,000 $.01 Total Per Bottle $180,000 $.18 0 $180,000 0 $.18 Make or Buy and the Use of Facilities Suppose Nantucket can use the released facilities in other manufacturing activities to produce a contribution to profits of $55,000, or can rent them out for $25,000. What are the alternatives? Make or Buy and the Use of Facilities Buy and leave facilities idle Buy and rent out facilities Buy and use facilities for other products (000) Make Rent revenue Contribution from other products Variable cost of bottles Net relevant costs $ — $ — $ 25 $ — — (170) $(170) — (180) $(180) — (180) $(155) 55 (180) $(125) Learning Objective 3 Avoidable and Unavoidable Costs Avoidable costs are costs that will not continue if an ongoing operation is changed or deleted. Unavoidable costs are costs that continue even if an operation is halted. Common costs are costs of facilities and services that are shared by users. Learning Objective 4 Choose whether to add or delete a product line using relevant information. Avoidable and Unavoidable Costs Avoidable costs are costs that will not continue if an ongoing operation is changed or deleted. Unavoidable costs are costs that continue even if an operation is halted. Department Store Example Consider a discount department store that has three major departments: Groceries General merchandise Drugs Department Store Example Departments ($000) General Groceries Mdse. Sales Variable expenses Contribution margin Fixed expenses: Avoidable Unavoidable Total fixed expenses Operating income Drugs Total $1,000 800 $ 200 $800 560 $240 $100 60 $ 40 $1,900 1,420 $ 480 $ 150 60 $ 210 $ (10) $100 100 $200 $ 40 $ 15 20 $ 35 $ 5 $ 265 180 $ 445 $ 35 Department Store Example For this example, assume first that the only alternatives to be considered are dropping or continuing the grocery department, which shows a loss of $10,000. Assume further that the total assets invested would be unaffected by the decision. The vacated space would be idle and the unavoidable costs would continue. Department Store Example Store as a Whole ($000) Sales Variable expenses Contribution margin Avoidable fixed expenses Profit contribution to common space and other unavoidable costs Unavoidable expenses Operating income Total Before Change Effect of Dropping Groceries $1,900 1,420 $ 480 265 $1,000 800 $ 200 150 $ 215 180 $ 35 $ $ 50 0 50 Total After Change $900 620 $280 115 $165 180 $ (15) Learning Objective 4 Optimal Use of Limited Resources A limiting factor or scarce resource restricts or constrains the production or sale of a product or service. Assume that the capacity of the facility is determined by machine time, and the maximum capacity is 10,000 machine hours. The facility can produce 10 pairs of Air Court Shoes or 5 pairs of Air Max shoes per hour. Optimal Use of Limited Resources Air Court Selling price per pair Variable costs per pair Contribution margin per pair Contribution margin ratio $80 60 $20 25% Air Max $120 84 $ 36 30% Optimal Use of Limited Resources Which is more profitable? If the limiting factor is demand, that is, pairs of shoes, the more profitable product is Air Max. Optimal Use of Limited Resources Air Max is the product with the higher contribution per unit. The sale of a pair of Air Court shoes adds $20 to profit. The sale of a pair of Air Max shoes adds $36 to profit. Optimal Use of Limited Resources Suppose that demand for either shoe would fill the plant’s capacity. Now, capacity is the limiting factor. Which is more profitable? If the limiting factor is capacity, the more profitable product is Air Court. Optimal Use of Limited Resources Air Court $20 contribution margin per pair × 10,000 hours = $2,000,000 contribution Air Max: $36 contribution margin per pair × 10,000 hours = $1,800,000 contribution Optimal Use of Limited Resources In retails stores, the limiting factor is often floor space. The focus is on products taking up less space or on using the space for shorter periods of time. Retail stores seek faster inventory turnover (the number of times the average inventory is sold per year). Optimal Use of Limited Resources Faster inventory turnover makes the same product a more profitable use of space in a discount store. Regular Department Store Discount Department Store Retail Price $4.00 $3.50 Costs of Merchandise and other variable costs 3.00 3.00 Contribution to profit per unit $1.00 (25%) $ .50 (14%) Units sold per year 10,000 22,000 Total contribution to profit, assuming the same space allotment in both stores $10,000 11,000 Learning Objective 5 Joint Product Costs Joint products have relatively significant sales values. They are not separately identifiable as individual products until their split-off point. The split-off point is that juncture of manufacturing where the joint products become individually identifiable. Joint Product Costs Separable costs are any costs beyond the split-off point. Joint costs are the costs of manufacturing joint products before the split-off point. Joint Product Costs Suppose Dow Chemical Company produces two chemical products, X and Y, as a result of a particular joint process. The joint processing cost is $100,000. Both products are sold to the petroleum industry to be used as ingredients of gasoline. Joint Product Costs 1 million liters of X at a selling price of $.09 = $90,000 500,000 liters of Y at a selling price of $.06 = $30,000 Total sales value at split-off is $120,000 Joint-processing cost is $100,000 Split-off point Illustration of Sell or Process Further Suppose the 500,000 liters of Y can be processed further and sold to the plastics industry as product YA. The additional processing cost would be $.08 per liter for manufacturing and distribution, a total of $40,000. The net sales price of YA would be $.16 per liter, a total of $80,000. Illustration of Sell or Process Further Revenues Separable costs beyond split-off @ $.08 Income effects Sell at Split-off as Y Process Further and Sell as YA Difference $30,000 $80,000 $50,000 – $30,000 40,000 $40,000 40,000 $10,000 Learning Objective 6 Equipment Replacement The book value of equipment is not a relevant consideration in deciding whether to replace the equipment. Because it is a past, not a future cost. Book Value of Old Equipment Depreciation is the periodic allocation of the cost of equipment. The equipment’s book value (or net book value) is the original cost less accumulated depreciation. Book Value of Old Equipment Suppose a $10,000 machine with a 10-year life span has depreciation of $1,000 per year. What is the book value at the end of 6 years? Original cost Accumulated depreciation (6 × $1,000) Book value $10,000 6,000 $ 4,000 Keep or Replace the Old Machine? Original cost Useful life in years Current age in years Useful life remaining in years Accumulated depreciation Book value Disposal value (in cash) now Disposal value in 4 years Annual cash operating costs Old Machine Replacement Machine $10,000 10 6 4 $ 6,000 $ 4,000 $ 2,500 0 $ 5,000 $8,000 4 0 4 0 N/A N/A 0 $3,000 Relevance of Equipment Data A sunk cost is a cost already incurred and is irrelevant to the decision-making process. Book value of old equipment Disposal value of old equipment Gain or loss on disposal Cost of new equipment Relevance of Equipment Data The book value of old equipment is irrelevant because it is a past (historical) cost. Therefore, depreciation on old equipment is irrelevant. Disposal Value of Old Equipment The disposal value of old equipment is relevant because it is an expected future inflow that usually differs among alternatives. Gain or Loss on Disposal This is the difference between book value and disposal value. It is a meaningless combination of irrelevant (book value) and relevant items (disposal value). It is best to think of each separately. Cost of New Equipment The cost of new equipment is relevant because it is an expected future outflow that will differ among alternatives. Cost Comparison Four Years Together Keep Replace Difference Cash operating costs Old equipment (book value): Depreciation, or Lump-sum write-off Disposal value New machine acquisition cost Total costs $20,000 $12,000 4,000 – – – 4,000 (2,500) – $24,000 8,000 $21,500 $8,000 – – 2,500 (8,000) $2,500 Learning Objective 7 Irrelevant Costs The ability to recognize irrelevant costs is important to decision makers. Irrelevant Costs Suppose General Dynamics has 100 obsolete aircraft parts in its inventory. The original manufacturing cost of these parts was $100,000. General Dynamics can remachine the parts for $30,000 and then sell them for $50,000, or scrap them for $5,000. Irrelevant Costs Remachine Expected future revenue Expected future costs Relevant excess of revenue over costs Accumulated historical inventory cost* Net loss on project Scrap Difference $ 50,000 30,000 $ 5,000 0 $45,000 30,000 $ 20,000 $ 5,000 $15,000 100,000 $(80,000) 100,000 $ (95,000) * Irrelevant because it is unaffected by the decision. 0 $15,000 Irrelevant Costs Assume that a new $100,000 machine with a five-year life can produce 100,000 units a year at a variable cost of $1 per unit, as opposed to a variable cost per unit of $1.50 with an old machine. Is the new machine a worthwhile acquisition? Irrelevant Costs Old Machine New Machine Units Variable cost Straight-line depreciation Total relevant costs Unit relevant costs 100,000 100,000 $150,000 $100,000 0 20,000 $ 150,000 $120,000 $ 1.50 $ 1.20 Irrelevant Costs It appears that the new machine will reduce costs by $.30 per unit. However, if the expected volume is only 30,000 units per year, the unit costs change in favor of the old machine. Irrelevant Costs Units Variable costs Straight-line depreciation Total relevant costs Unit relevant costs Old Machine New Machine 30,000 $45,000 0 $45,000 $1.50 30,000 $30,000 20,000 $50,000 $1.6667 Learning Objective 8 Decision Making and Performance Evaluation To motivate managers to make the right choice, the method used to evaluate performance should be consistent with the decision model. Consider the replacement decision where replacing a machine has a $2,500 advantage over keeping it. Decision Making and Performance Evaluation Year 1 Keep Replace Cash operating costs $5,000 Depreciation 1,000 Loss on disposal ($4,000 – $2,500) 0 Total charges against revenue $6,000 Years 2, 3, and 4 Keep Replace $3,000 2,000 $5,000 1,000 $3,000 2,000 $1,500 0 0 $6,500 $6,000 $5,000 Decision Making and Performance Evaluation Performance is often measured by accounting income, consider the accounting income in the first year after replacement compared with that in years 2, 3, and 4. If the machine is kept rather than replaced, first-year costs will be $500 lower ($6,500 – $6,000), and first-year income will be $500 higher. The End End of Chapter 6