Cove’s Cakes is a local bakery. Price and cost information
follows:
Price per cake | $ | 14.01 | |
Variable cost per cake | |||
Ingredients | 2.23 | ||
Direct labor | 1.02 | ||
Overhead (box, etc.) | 0.11 | ||
Fixed cost per month | $ | 4,153.50 | |
Required:
1. Calculate Cove’s new break-even point under each of the
following independent scenarios: (Round your answer to the
nearest whole number.)
a. Sales price increases by $2.00 per cake.
b. Fixed costs increase by $500 per month.
c. Variable costs decrease by $0.29 per
cake.
d. Sales price decreases by $0.30 per cake.
2. Assume that Cove sold 415 cakes last month.
Calculate the company’s degree of operating leverage. (Do
not round intermediate calculations. Round your answer to 2 decimal
places.)
3. Using the degree of operating leverage
calculated in Requirement 2, calculate the change in profit caused
by a 13 percent increase in sales revenue. (Round your
final answer to 2 decimal places (i.e. .1234 should be entered as
12.34%.))
Req 1. | ||||||
case a: sales price increased by 2.00 per unit | ||||||
Cm per unit: | ||||||
Sales price | 16.01 | |||||
Less: VC per unit (2.23+1.02+0.11) | 3.36 | |||||
Cm per unit: | 12.65 | |||||
Break even units = Fixed cost / CM per unit | ||||||
4153.50 / 12.65 = 328.34 units | ||||||
Case b: Fixed cost increase by 500 per month | ||||||
Seleas price | 14.01 | |||||
Less: VC pe runit | 3.36 | |||||
CM per unit | 10.65 | |||||
Break even units = Fixed cost / CM per unit | ||||||
(4153.50+500) / 10.65 = 436.95 units | ||||||
case c: VC decrease by 0.29 per unit | ||||||
Sales price | 14.01 | |||||
Less: VC per unit (3.36-0.29) | 3.07 | |||||
CM per unit | 10.94 | |||||
Brezk even units = Fixed cost / CM per unit | ||||||
4153.50 / 10.94 = 379.66 units | ||||||
Cased: Sales price decrease by 0.30 per unit | ||||||
Sales price (14.01- 0.30) | 13.71 | |||||
Less: VC per unit | 3.36 | |||||
CM per unit | 10.35 | |||||
\Break even units = Fixed cost / CM per unit | ||||||
4153.50 /10.35 = 401.30 units | ||||||
Req 2. | ||||||
CM per unit = 14.01 - 3.36 = 10.65 | ||||||
Sales units = 415 units | ||||||
Total contribution (415*10.65) | 4419.75 | |||||
Less: Fixed cost | 4153.5 | |||||
Net income | 266.25 | |||||
Degree of Operting leverage = Total contribution/ Net Income | ||||||
4419.75 /266.25 =16.6 times | ||||||
Req 3. | ||||||
Net Sales increasses by | 13% | |||||
Multiply: Degree of operating leverage | 16.6 | |||||
Net Income increase by | 215.80% | |||||
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