Answer:
Allowable unit cost of a hydraulic valve using the target costing model = 52.4
Step-by-step explanation:
Given that:
Simon Corporation manufactures hydraulic valves. The product life of a valve is 4 years.
Target average profit margin for Simon 20.00%
The company does not expect the manufacturing cost to vary over the next 4 years
Estimated sales volume and the unit selling price of the valve for the next 4 years is given below:
Year Sales volume (units) Unit selling price
Year 1 40,000 $80.00
Year 2 50,000 $75.00
Year 3 35,000 $50.00
Year 4 25,000 $45.00
The objective is to determine the allowable unit cost of a hydraulic valve using the target costing model.
The Cost for each unit selling price can be calculated as:
= unit selling price - (Target average profit margin × unit selling price)
For Year 1
= $80.00- (0.2 × $80.00)
= $80.00 - $16.00
= $64.00
For Year 2
= $75.00 - ( 0.2 × $75.00)
= $75.00 - ( $15.00)
= $60.00
Year 3
= $50.00 - (0.2× $50.00)
= $50.00 - $10.00
= $40.00
Year 4
= $45.00 - (0.2 × $45.00)
=$45.00 - $9.00
= $36.00
Year Sales volume Unit Cost Cost per Unit
(units) selling price
Year 1 40,000 $80.00 $64.00 $2560000
Year 2 50,000 $75.00 $60.00 $3000000
Year 3 35,000 $50.00 $40.00 $1400000
Year 4 25,000 $45.00 $36.00 $900000
Total: 150000 $7860000
Allowable unit cost = Total cost/Total number of unit cost
Allowable unit cost = $7860000/150000
Allowable unit cost = 52.4