CHAPTER 12 PRICING DECISIONS AND COST MANAGEMENT 12-17 Relevant-cost approach to short-run pricing decisions. 1. Analysis of special order: Sales, 3,000 units $75 Variable costs: Direct materials, 3,000 units $35 Direct manufacturing labor, 3,000 units $10 Variable manufacturing overhead, 3,000 units $6 Other variable costs, 3,000 units $5 Sales commission Total variable costs Contribution margin $225,000 $105,000 30,000 18,000 15,000 8,000 176,000 $ 49,000 Note that the variable costs, except for commissions, are affected by production volume, not sales dollars. If the special order is accepted, operating income would be $1,000,000 + $49,000 = $1,049,000. 2. Whether McMahon’s decision to quote full price is correct depends on many factors. He is incorrect if the capacity would otherwise be idle and if his objective is to increase operating income in the short run. If the offer is rejected, San Carlos, in effect, is willing to invest $49,000 in immediate gains forgone (an opportunity cost) to preserve the long-run selling-price structure. McMahon is correct if he thinks future competition or future price concessions to customers will hurt San Carlos’s operating income by more than $49,000. There is also the possibility that Abrams could become a long-term customer. In this case, is a price that covers only short-run variable costs adequate? Would Holtz be willing to accept a $8,000 sales commission (as distinguished from her regular $33,750 = 15% $225,000) for every Abrams order of this size if Abrams becomes a long-term customer? 12-1 12-25 Life-cycle product costing. 1. Variable cost per unit = Production cost per unit + Mktg and distribn. cost per unit = $20 + $5 = $25 Contribution margin per unit = Selling price – Variable cost per unit = $50 – $25 = $25 Marketing and Total fixed Design Production distribution costs over life = + + fixed costs fixed costs fixed costs of robot = $650,000 + $3,560,000 + $2,225,000 = $6,435,000 BEP in units = 2a. 2b. Fixed costs $6, 435, 000 257, 400 units Contribution margin per unit $25 Option A: Revenues ($50 500,000 units) Variable costs ($25 500,000 units) Fixed costs Operating income $25,000,000 12,500,000 6,435,000 $ 6,065,000 Option B: Revenues Year 2 ($70 100,000 units) Years 3 & 4 ($40 600,000 units) Total revenues Variable costs ($25 700,000 units) Fixed costs Operating income $ 7,000,000 24,000,000 31,000,000 17,500,000 6,435,000 $ 7,065,000 Over the product’s life-cycle, Option B results in an overall higher operating income of $1,000,000 ($7,065,000 – $6,065,000). 12-2 12-29 Target prices, target costs, value engineering, cost incurrence, locked-in cost, activity-based costing. 1. Direct materials costs Direct manufacturing labor costs Machining costs Testing costs Rework costs Ordering costs Engineering costs Total manufacturing costs Old CE100 $182,000 28,000 31,500 35,000 14,000 3,360 21,140 $315,000 Cost Change $2.20 7,000 = $15,400 less $0.50 7,000 = $3,500 less Unchanged because capacity same (20% 2.5 7,000) × $2 = $7,000 (See Note 1) (See Note 2) Unchanged because capacity same New CE100 $166,600 24,500 31,500 28,000 5,600 2,100 21,140 $279,440 Note 1: 10% of old CE100s are reworked. That is, 700 (10% of 7,000) CE100s made are reworked. Rework costs = $20 per unit reworked 700 = $14,000. If rework falls to 4% of New CE100s manufactured, 280 (4% of 7,000) New CE100s manufactured will require rework. Rework costs = $20 per unit 280 = $5,600. Note 2 : Ordering costs for New CE100 = 2 orders/month 50 components $21/order = $2,100 Unit manufacturing costs of New CE100 = $279,440 ÷ 7,000 = $39.92 2. Total manufacturing cost reductions based on new design Reduction in unit manufacturing costs based on new design = $315,000 – $279,440 = $35,560 = $35,560 ÷ 7,000 = $5.08 per unit. The reduction in unit manufacturing costs based on the new design can also be calculated as Unit cost of old design, $45 ($315,000 ÷ 7,000 units) – Unit cost of new design, $39.92 = $5.08 Therefore, the target cost reduction of $6 per unit is not achieved by the redesign. 3. Changes in design have a considerably larger impact on costs per unit relative to improvements in manufacturing efficiency ($5.08 versus $1.50). One explanation is that many costs are locked in once the design of the radio-cassette is completed. Improvements in manufacturing efficiency cannot reduce many of these costs. Design choices can influence many direct and overhead cost categories, for example, by reducing direct materials requirements, by reducing defects requiring rework, and by designing in fewer components that translate into fewer orders placed and lower ordering costs. 12-3 12-30 Cost-plus, target return on investment pricing. 1. Target operating income = Return on capital in dollars = $13,000,000 10% = $1,300,000 2. Revenues* Variable costs [($3.50 + $1.50) 500,000 cases Contribution margin Fixed costs ($1,000,000 + $700,000 + $500,000) Operating income (from requirement 1) $6,000,000 2,500,000 3,500,000 2,200,000 $1,300,000 * solve backwards for revenues Selling price = $6,000,000 $12 per case. 500,000 cases Markup % on full cost Full cost = $2,500,000 + $2,200,000 = $4,700,000 Unit cost = $4,700,000 ÷ 500,000 cases = $9.40 per case Markup % on full cost = $12 - $9.40 27.66% $9.40 3. Budgeted Operating Income For the year ending December 31, 20xx Revenues ($14 475,000 cases*) $6,650,000 Variable costs ($5 475,000 cases) 2,375,000 Contribution margin 4,275,000 Fixed costs 2,200,000 Operating income $2,075,000 *New units = 500,000 cases 95% = 475,000 cases Return on investment = $2,075,000 15.96% $13,000,000 Yes, increasing the selling price is a good idea because operating income increases without increasing invested capital, which results in a higher return on investment. The new return on investment exceeds the 10% target return on investment. 12-4
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