Relevant Range and Fixed and Variable Costs
Vogel Inc. manufactures memory chips for electronic toys within a relevant range of 61,600 to 100,800 memory chips per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:
Components produced | 61,600 | 79,200 | 100,800 |
Total costs: | |||
Total variable costs . . . . . . . . . | $19,712 | (d) | (j) |
Total fixed costs . . . . . . . . . . . . | 22,176 | (e) | (k) |
Total costs . . . . . . . . . . . . . . . . . | $41,888 | (f) | (l) |
Cost per unit: | |||
Variable cost per unit . . . . . . . | (a) | (g) | (m) |
Fixed cost per unit . . . . . . . . . . | (b) | (h) | (n) |
Total cost per unit . . . . . . . . . . | (c) | (i) | (o) |
Complete the cost schedule below. When computing the cost per unit, round to two decimal places. Round all other values to the nearest dollar.
Cost Report | ||||||
Components produced | 61,600 | 79,200 | 100,800 | |||
Total costs: | ||||||
Total variable costs | $19,712 | (d) | $ | (j) | $ | |
Total fixed costs | 22,176 | (e) | (k) | |||
Total costs | $41,888 | (f) | $ | (l) | $ | |
Cost per Unit | ||||||
Variable cost per unit | (a) | $ | (g) | $ | (m) | $ |
Fixed cost per unit | (b) | (h) | (n) | |||
Total cost per unit | (c) | $ | (i) | $ | (o) | $ |
* Variable cost per unit is constant.
* Total fixed cost is constant.
Cost Report | ||||||
Components produced | 61,600 | 79,200 | 100,800 | |||
Total costs: | ||||||
Total variable costs | $19,712 | (d) | $25,344 ($0.32*79,200) | (j) | $32,256 ($0.32*100,800) | |
Total fixed costs | $22,176 | (e) | $22,176 | (k) | $22,176 | |
Total costs | $41,888 | (f) | $47,520 | (l) | $54,432 | |
Cost per Unit | ||||||
Variable cost per unit | (a) | $0.32 ($19,712/61,600) | (g) | $0.32 | (m) | $0.32 |
Fixed cost per unit | (b) | $0.36 ($22,176/61,600) | (h) | $0.28 ($22,176/79,200) | (n) | $0.22 ($22,176/100,800) |
Total cost per unit | (c) | $0.68 | (i) | $0.6 | (o) | $0.54 |
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