Cove’s Cakes is a local bakery. Price and cost information
follows:
Price per cake | $ | 14.91 | |
Variable cost per cake | |||
Ingredients | 2.33 | ||
Direct labor | 1.18 | ||
Overhead (box, etc.) | 0.25 | ||
Fixed cost per month | $ | 3,233.50 | |
Required:
1. Determine Cove’s break-even point in units and sales
dollars. (Round your Break-Even Units answer to the nearest
whole number. Round your other intermediate calculations and sales
dollars answer to 2 decimal places.)
2. Determine the bakery’s margin of safety if it
currently sells 380 cakes per month. (Round your
intermediate calculations to 2 decimals. Round the break-even units
and final answer to nearest whole dollar.)
3. Determine the number of cakes that Cove must
sell to generate $1,300 in profit. (Round your intermediate
calculations to 2 decimal places and final answer to nearest whole
number.)
Part 1
Contribution margin= selling price per unit - variable cost per unit = 14.91-(2.33+1.18+0.25) = 14.91-3.76 = 11.15
Break even in units = fixed cost / contribution margin per unit = 3233.50 / 11.15 = 290 units
Break even in dollars= 290 units * 14.91= 4323.90 = $4324
Part 2
Margin safety in units = actual sales- break even sales = 380-290 = 90 units
Margin of safety in dollars= 90 units*14.91 = 1341.90 = $1342
Part 3
Desired sales= (fixed cost+ desired profit) / contribution margin per unit = (3233.50+1300) / 11.15 = 406.59 = 407 units
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