Babuca Corporation has provided the following production and total cost data for two levels of monthly production volume. The company produces a single product.
Production volume | 14,200 | units | 16,000 | units | ||
Direct materials | $ | 921,580 | $ | 1,038,400 | ||
Direct labor | $ | 248,500 | $ | 280,000 | ||
Manufacturing overhead | $ | 1,008,200 | $ | 1,038,260 | ||
The best estimate of the total cost to manufacture 15,100 units is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
Explanation
Note: There are several ways to compute the variable cost per unit for direct materials and direct labor.
Direct materials:
Variable cost per unit = Change in cost ÷ Change in activity
= ($1,038,400 – $921,580) ÷ (16,000 units – 14,200 units)
= $116,820 ÷ 1,800 units
= $64.90 per unit
Direct labor:
Variable cost per unit = Change in cost ÷ Change in activity
= ($280,000 – $248,500) ÷ (16,000 units – 14,200 units)
= $31,500 ÷ 1,800 units
= $17.50 per unit
Manufacturing overhead
Variable cost per unit = Change in cost ÷ Change in activity
= ($1,038,260 - $1,008,200) ÷ (16,000 units – 14,200 units)
= $30,060 ÷ 1,800 units
= $16.70 per unit
Total variable cost per unit = $64.90 per unit + $17.50 per unit + $16.70 per unit
= $99.10 per unit
Fixed cost = Total cost – Variable cost element
= $1,038,260 – ($16.70 per unit × 16,000 units)
= $1,038,260 – $267,200
= $771,060
Total fixed cost per month = $0 + $771,060 = $771,060
Total cost = Total fixed cost + Total variable cost
= $771,060 + ($99.10 per units × 15,100 units)
= $771,060 + $1,496,410
= $2,267,470
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