Answer:
(a) $41.84 per chair
(b) $63.24 per chair
Step-by-step explanation:
Given that,
Annual rental fee = $622,000
January:
Material cost = $16,500
Labor cost = $26,000
Number of chairs produced = 4,800
February:
Material cost = $9,500
Labor cost = $12,500
Number of chairs produced = 1,800
Overhead absorption rate :
= Annual rental fee ÷ Budgeted production
= $622,000 ÷ 31,100
= $20 per chair
For January:
Total cost for January :
= Material cost + Labor cost + Overhead (Number of chairs produced × Overhead per chair)
= $16,500 + $26,000 + (4,800 × $20 per chair)
= $16,500 + $26,000 + $96,000
= $138,500
Desired profit:
= 45% of cost
= 0.45 × $138,500
= $62,325
Total Value of goods = Profit + Cost
= $62,325 + $138,500
= $200,825
Price per chair:
= Total value ÷ Quantity sold
= $200,825 ÷ 4,800
= $41.84 per chair
For February:
Total cost for February:
= Material cost + Labor cost + Overhead (Number of chairs produced × Overhead per chair)
= $9,500 + $12,500 + (1,800 × $20 per chair)
= $16,500 + $26,000 + $36,000
= $78,500
Desired profit:
= 45% of cost
= 0.45 × $78,500
= $35,325
Total Value of goods = Profit + Cost
= $35,325 + $78,500
= $113,825
Price per chair:
= Total value ÷ Quantity sold
= $113,825 ÷ 1,800
= $63.24 per chair