Answer:
the maximum price the company can pay for the component is $24.65
Step-by-step explanation:
- direct materials: $8.10 per unit
- direct labor: $6.40 per unit
- variable manufacturing overhead: $1.70 per unit
- fixed manufacturing overhead: $4.40 per unit
- total variable costs: $20.60 per unit
Current total manufacturing costs for 16,000 units = $20.60 x 16,000 units = $329,600
if the component is bought, 30% of fixed costs can be avoided = $4.40 x 16,000 x 30% = $21,120 or $1.32
or the machine can be used to manufacture another product that has a contribution margin of $8.10 per unit and a total production of 8,000 units = $8.10 x 8,000 = $64,800 or $4.05 per unit
by purchasing the component from a vendor, the company will save either $1.32 or $4.05 per unit
therefore the company should purchase the component if its maximum price is = $20.60 + $4.05 = $24.65