Cost function, breakeven, target profit, uncertainties and bias, interpretation:
ID: 2543595 • Letter: C
Question
Cost function, breakeven, target profit, uncertainties and bias, interpretation:
Joe Davies is thinking about starting a company to produce carved wooden clocks. He loves making the clocks. He sees it as an opportunity to be his own boss, making a living doing what he likes best.
Joe paid $300 for the plans for the first clock, and he has already purchased new equipment costing $2,000 to manufacture the clocks. He estimates that it will cost $30 in materials (wood, clock mechanism, and so on) to make each clock. If he decides to build clocks full time, he will need to rent office and manufacturing space, which he thinks would cost $2,500 per month for rent plus another $300 per month for various utility bills. Joe would perform all of the manufacturing and run the office, and he would like to pay himself a salary of $3,000 per month so that he would have enough money to live on. Because he does not want to take time away from manufacturing to sell the clocks, he plans to hire two salespeople at a base salary of $1,000 each per month plus a commission of $7 per clock.
Joe plans to sell each clock for $225. He believes that he can produce and sell 300 clocks in December for Christmas, but he is not sure what the sales will be during the rest of the year. However, he is fairly sure that the clocks will be popular because he has been selling similar items as a sideline for several years. Overall, he is confident that he can pay all of his business costs, pay himself the monthly salary of $3,000, and earn at least $4,000 more than that per month. (Ignore income taxes.)
The following questions will help you analyze the information for this problem.
A. Perform analyses to estimate the number of clocks Joe would need to manufacture and sell each year for his business to be financially successful:
1. List all of the costs described and indicate whether each cost is (a) a relevant fixed cost, (b) a relevant variable cost, or (c) NOT relevant to Joe’s decision.
2. Calculate the contribution margin per unit and the contribution margin ratio.
3. Calculate the annual breakeven point in units and in revenues.
4. How many clocks would Joe need to sell annually to earn $4,000 per month more than his salary?
B. Identify uncertainties about the CVP calculations:
1. Explain why Joe cannot know for sure whether his actual costs will be the same dollar amounts that he estimated. In your explanation, identify as many uncertainties as you can. (Hint: For each of the costs Joe identified, think about reasons why the actual cost might be different than the amount he estimated.)
2. Identify possible costs for Joe’s business that he has not identified. List as many additional types of cost as you can.
3. Explain why Joe cannot know for sure how many clocks he will sell each year. In your explanation, identify as many uncertainties as you can.
C. Discuss whether Joe is likely to be biased in his revenue and cost estimates.
D. Explain how uncertainties and Joe’s potential biases might affect interpretation of the breakeven analysis results.
Explanation / Answer
A.1.
A.2. Contribution margin per unit = Sales price - Variable cost = $225 - ($30 + $7) = $225 - $37 = 188
Contribution margin ratio = Contribution/Sales = $188/$225 = 83.56%
Note: Contribution margin ratio is rounded off to 2 decimal places.
A.3. Annual break-even point in units = Total fixed costs/Contribution per unit = $93600/$188 = 497.87 = 498 clocks
Total fixed costs = ($2500 + $300 + $3000 + $2000) x 12 months = $93600
Annual break-even point in revenues = Total fixed costs/Contribution margin ratio = $93600/83.56% = $112015
Note: Only relevant fixed costs have been considered for computing the break-even.
Note: Break-even point in units is rounded off to the nearest whole number.
A.4. Number of clocks to sell annually = (Total fixed costs + Target profit)/Contribution per unit = ($93600 + $48000)/$188 = $141600/$188 = 753.19 units
Per Chegg guidelines, 4 sub-parts have been answered.
Plans for first clock Not relevant New equipment Not relevant Materials Relevant variable cost Rent Relevant fixed cost Utility bills Relevant fixed cost Joe's salary Relevant fixed cost Salespeople salaries Relevant fixed cost Sales commission Relevant variable cost