In: Finance
United Snack Company sells 60-pound bags of peanuts to
university dormitories for $40 a bag. The fixed costs of this
operation are $305,000, while the variable costs of peanuts are
$0.25 per pound.
a. What is the break-even point in bags?
  
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b. Calculate the profit or loss (EBIT) on 5,000 bags and on 18,000 bags.
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c. What is the degree of operating leverage at 17,000 bags and at 22,000 bags? (Round your answers to 2 decimal places.)
| Bags | Degree of Operating Leverage | |
| 17,000 | ||
| 22,000 | ||
d. If United Snack Company has an annual interest expense of $25,000, calculate the degree of financial leverage at both 17,000 and 22,000 bags. (Round your answers to 2 decimal places.)
| Bags | Degree of Financial Leverage | |
| 17,000 | ||
| 22,000 | ||
e. What is the degree of combined leverage at
both a sales level of 17,000 bags and 22,000 bags? (Round
your answers to 2 decimal places.)
| Bags | Degree of Combined Leverage | |
| 17,000 | ||
| 22,000 | ||
| Given that | ||||||||||||
| ans a | ||||||||||||
| Variable cost per bag = 0.25*60 | 15 | |||||||||||
| Contribution = 40-15 | 25 | |||||||||||
| fixed cost = | 305,000 | |||||||||||
| Break even bag = 305000/25 | 12200 | |||||||||||
| ans b | Calculate the profit or loss (EBIT) on 5,000 bags and on 18,000 bags. | |||||||||||
| i | Unit | 5000 | 18000 | |||||||||
| ii | Contribution per bag= | 25 | 25 | |||||||||
| iii=i*ii | Total contribution | 125000 | 450000 | |||||||||
| iv | fixed cost | 305,000 | 305,000 | |||||||||
| v=iii-iv | Profit/(loss) | -180,000 | 145,000 | |||||||||
| ans c | What is the degree of operating leverage at 17,000 bags and at 22,000 bags | |||||||||||
| DOL = Contribution margin/Net profit | ||||||||||||
| i | Unit | 17000 | 22000 | |||||||||
| ii | Contribution per bag= | 25 | 25 | |||||||||
| iii=i*ii | Total contribution | 425000 | 550000 | |||||||||
| iv | fixed cost | 305,000 | 305,000 | |||||||||
| v=iii-iv | Profit/(loss) | 120,000 | 245,000 | |||||||||
| vi=iii/v | DOL | 3.54 | 2.24 | |||||||||
| ans d | If United Snack Company has an annual interest expense of $25,000, calculate the degree of financial leverage at both 17,000 and 22,000 bags | |||||||||||
| DOFL = EBIT/(EBIT-Interest) | ||||||||||||
| i | Unit | 17000 | 22000 | |||||||||
| ii | Contribution per bag= | 25 | 25 | |||||||||
| iii=i*ii | Total contribution | 425000 | 550000 | |||||||||
| iv | fixed cost | 305,000 | 305,000 | |||||||||
| v=iii-iv | EBIT | 120,000 | 245,000 | |||||||||
| vi | Interest | 25,000 | 25,000 | |||||||||
| vii | EBIT-Interest | 95,000 | 220,000 | |||||||||
| viii=v/vii | DOFL | 1.26 | 1.11 | |||||||||
| Answer e | Combined leverage = DOL*DOFL | |||||||||||
| Unit | 17000 | 22000 | ||||||||||
| DOL | 3.54 | 2.24 | ||||||||||
| DOFL | 1.26 | 1.11 | ||||||||||
| DOCL | 4.47 | 2.50 | ||||||||||