Chapter 20: Q20-13RQ (page 1119)
What are the CVP assumptions?
Answer
When the volume of a product changes, the price per unit does not change.
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Calculating breakeven sales and sales to earn a target profit;preparing a contribution margin income statement
Famous Productions performs London shows. The average show sells 1,000 ticketsat \(60 per ticket. There are 175 shows a year. No additional shows can be held as thetheater is also used by other production companies. The average show has a cast of60, each earning a net average of \)320 per show. The cast is paid after each show. Theother variable cost is a program-printing cost of \(8 per guest. Annual fixed costs total\)459,200.
Requirements
1. Compute revenue and variable costs for each show.
2. Use the equation approach to compute the number of shows Famous Productionsmust perform each year to break even.
3. Use the contribution margin ratio approach to compute the number of showsneeded each year to earn a profit of $4,264,000. Is this profit goal realistic? Giveyour reasoning.
4. Prepare Famous Productions’s contribution margin income statement for 175shows performed in 2018. Report only two categories of costs: variable andfixed.
Question: Why is the calculation to determine the target profit considered a variation of the breakeven calculation?
Calculating contribution margin
Glenn Company sells a product for \(80 per unit. Variable costs are \)60 per unit, and fixed costs are $800 per month. The company expects to sell 560 units in September. Calculate the contribution margin per unit, in total, and as a ratio.
Question: This problem continues the Piedmont Computer Company situation from Chapter 19. Piedmont Computer Company manufactures personal computers and tablets. Based on the latest information from the cost accountant, using the current sales mix, the weighted-average sales price per unit is \(750 and the weighed-average variable cost per unit is \)450. The company does not expect the sales mix to vary for the next year. Average fixed costs per month are \(156,000.
Requirements
1. What is the number of units that must be sold each month to reach the breakeven point?
2. If the company currently sells 945 units per month, what is the margin of safety in units and dollars?
3. If Piedmont Computer Company desires to make a profit of \)15,000 per month, how many units must be sold?
4. Piedmont Computer Company thinks it can restructure some costs so that fixed costs will be reduced to \(90,000 per month, but the weighted-average variable cost per unit will increase to \)525 per unit. What is the new breakeven point in units? Does this increase or decrease the margin of safety? Why or why not?
What is contribution margin?
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