Problem 22-1B (25 minutes) Parts 1 and 2 PROBLEM SET B Trace Company Contribution Margin Income Statement For Year Ended December 31, 2011 (480,000 units) Per unit % of sales Sales ($4.50 x 480,000)... $2,160,000 $4.50 100% Variable costs Plastic for CD sets... $ 43,200 $0.09 Assembly worker wages... 600,000 1.25 Labeling... 86,400 0.18 Sales commissions... 48,000 777,600 0.10 1.62 36% Contribution margin... 1,382,400 $2.88 64% Fixed costs Rent on factory... 100,000 Factory cleaning service... 75,000 Factory mach. depreciation.. 125,000 Office equipment lease... 120,000 System staff salaries... 600,000 Admin. mgmt. salaries... 300,000 1,320,000 Pretax income... 62,400 Income tax (25%)... 15,600 Net income... $ 46,800 The contribution margin per unit is $2.88, and the contribution margin ratio is 64%. Part 3 Analysis Component Contribution margin shows how much of total sales are available to cover fixed costs and contribute to operating income. This is why the title for this statement is Contribution Margin Income Statement. Contribution margin ratio shows management the percent of each sales dollar that is available to cover fixed costs and to contribute to operating income. That is, for each $1 of sales, $0.64 is available both to cover fixed costs and to contribute to operating income. 22-30
Problem 22-4B (75 minutes) Part 1 Instructor note: Use the equation in Exhibit 22.12 2011 break-even in dollar sales = Fixed costs / Contribution margin ratio = $400,000 / 20%* = $2,000,000 *To compute contribution margin ratio Sales price per unit ($1,500,000 / 40,000)... $37.50 Variable costs per unit ($1,200,000 / 40,000)... $30.00 Contribution margin ratio ($37.50- $30) / $37.50)... 20% Part 2 Instructor note: Use equation in Exhibit 22.12 with predicted numbers 2012 break-even in dollar sales = Fixed costs / Contribution margin ratio = $700,000* / 60%** = $1,166,667 *To compute predicted fixed costs 2011 fixed costs plus 2012 increase ($400,000 + $300,000)... $700,000 **To compute predicted contribution margin ratio Predicted sales price per unit ($1,500,000 / 40,000)... $37.50 Predicted variable costs per unit [($1,200,000 x 50%)/ 40,000)... $15.00 Predicted contribution margin ratio ($37.50- $15) / $37.50)... 60% Part 3 CARUSO COMPANY For Year Ended December 31, 2012 Sales (40,000 x $37.50)... $1,500,000 Variable costs (40,000 x $15)... 600,000 Contribution margin (40,000 x $22.50)... 900,000 Fixed costs... 700,000 Net income... $ 200,000 22-34
Problem 22-4B (Continued) Part 4 Instructor note: Use equations in Exhibit 22.21 and 22.23 with predicted numbers (Fixed costs + Target pre-tax income) Required sales in dollars = Contribution margin ratio = ($700,000* + $400,000**) / 60%**** = $1,100,000 / 60.0% = $1,833,333 (Fixed costs + Target pre-tax income) Required sales in units = Contribution margin per unit = ($700,000 + $400,000) / $22.50 = 48,889 units (rounded up to nearest whole unit) Or, required unit sales = $1,833,333 / $37.50 per unit = 48,889 units (rounded up to nearest whole unit) * 2011 fixed costs plus 2012 increase ($400,000 + $300,000)... $700,000 ** Pretax target income = After-tax target income / (1 Tax rate) = $280,000 / (1 0.30) = $400,000 ***Predicted contribution margin ratio ($37.50-$15)/$37.50) from part 2... 60% Taken from required sales in dollars above...$1,833,333 Taken from part 2... $37.50 Part 5 CARUSO COMPANY For Year Ended December 31, 2012 Sales (48,889 units x $37.50)... $1,833,338 Variable costs (48,889 units x $15)... 733,335 Contribution margin (48,889 units x $22.50)... 1,100,003 Fixed costs (from part 2)... 700,000 Income before income taxes... 400,003 Income taxes ($400,003 x 30%)... 120,001 Net income*... $ 280,002 * Slightly greater than the targeted $280,000 income due to rounding of units from part 4. 22-35
Problem 22-5B (65 minutes) Part 1 Instructor note: Use the equation in Exhibit 22.12 Break-even in dollar sales = Fixed costs / Contribution margin ratio Product BB: Product TT: = $600,000 / 40%* = $1,500,000 = $1,800,000 / 80%* = $2,250,000 *To compute contribution margin ratio Sales price per unit Product BB ($3,000,000 / 120,000)... Product TT ($3,000,000 / 120,000)... Variable costs per unit Product BB ($1,800,000 / 120,000)... Product TT ($600,000 / 120,000)... Contribution margin ratio Product BB ($25 - $15) / $25)... Product TT ($25 - $5) / $25)... BB $25 $15 40% TT $25 $5 80% Part 2 Forecasted contribution margin income statements for each product assuming sales decline to 104,000 units with no change in unit sales price DOMINICO CO. Product BB Product TT Sales*... $2,600,000 $ 2,600,000 Variable costs**... 1,560,000 520,000 Contribution margin... 1,040,000 2,080,000 Fixed costs... 600,000 1,800,000 Income before taxes... 440,000 280,000 Income taxes (35%)... 154,000 98,000 Net income... $ 286,000 $ 182,000 Unit sales price and variable costs are computed in Part 1 and used in these computations: * Product BB sales = 104,000 units x $25; Product TT sales = 104,000 units x $25. ** Product BB variable costs = 104,000 units x $15; Product TT variable costs = 104,000 units x $5. 22-36
Problem 22-5B (Continued) Part 3 Forecasted contribution margin income statements for each product assuming sales increase to 190,000 units with no change in unit sales price DOMINICO CO. Product BB Product TT Sales*... $4,750,000 $4,750,000 Variable costs**... 2,850,000 950,000 Contribution margin... 1,900,000 3,800,000 Fixed costs... 600,000 1,800,000 Income before taxes... 1,300,000 2,000,000 Income taxes (35%)... 455,000 700,000 Net income... $ 845,000 $1,300,000 Unit sales price and variable costs are computed in Part 1 and used in these computations: * Product BB sales = 190,000 units x $25; Product TT sales = 190,000 units x $25. ** Product BB variable costs = 190,000 units x $15; Product TT variable costs = 190,000 units x $5. Part 4 If sales were to greatly increase, Product TT would experience the greater increase in income because it would gain more contribution margin per unit than Product BB ($20 for TT versus $10 for BB). Examining the operating leverage of these two products would yield the same inference. Specifically, higher operating leverage reflects higher fixed costs, which implies greater impacts on income from changes in sales levels. Part 5 Factors that could cause Product BB to have lower fixed costs include: Labor arrangement that pays workers for units produced. Sales representatives that work totally on commission. Managers that are compensated with a share of profits instead of salaries. Assets that are used in the production of Product BB are leased when rent is based on asset usage. In contrast, the fixed costs for Product TT could be higher because of: Salary structure that is not based on production or sales. Product TT's assets that are owned or obtained under a lease agreement based on time, and not on asset usage. 22-37