The following data have been extracted from the records of Puzzle, Inc.:
February | August | ||||||
Production level, in units | 10,500 | 15,750 | |||||
Variable costs | $ | 27,300 | $ | ? | |||
Fixed costs | ? | 36,700 | |||||
Mixed costs | 23,240 | ? | |||||
Total costs | $ | 87,240 | $ | 109,710 | |||
|
Required:
a. Calculate the missing costs. (Do not round intermediate calculations.)
b. Calculate the cost formula for mixed cost using the high-low method. (Do not round intermediate calculations. Round "Variable cost" to 2 decimal places.)
c. Calculate the total cost that would be incurred for the production of 12,600 units. (Do not round intermediate calculations.)
d. Identify the two key cost behavior assumptions made in the calculation of your answer to part c.
a.
Feb | |
Total costs | 87240 |
Less | |
Variable costs | 27300 |
Mixed costs | 23240 |
Fixed costs | 36700 |
Production | 10500 |
Variable cost per unit | 2.6 |
Variable costs for 15750 units = 2.6 * 15750= 40950
Mixed costs inAugust:
Aug | |
Total costs | 109710 |
Less | |
Variable costs | 40950 |
Fixed costs | 36700 |
Mixed costs | 32060 |
b.
High | Low | Difference | |
Production | 15750 | 10500 | 5250 |
Mixed costs | 32060 | 23240 | 8820 |
Per unit | 1.68 | ||
Variable portions | 26460 | 17640 | |
Fixed portion | 5600 | 5600 |
c.
Amount | |||
Per unit | Total | ||
Production | 12600 | ||
Variable cost | 2.6 | 32760 | |
Mixed cost: | |||
Variable portion | 1.68 | 21168 | |
Fixed portion | 5600 | ||
Fixed costs | 36700 | ||
Total costs | 96228 |
d.
Assumed that variable cost per unit remain fixed.
Assumed that fixed costs do not change with in the given production level.
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