Learning Curve Analysis Scorpion Manufacturing recently completed and sold an order for 50 unit that had costs as follows:
Direct Materials $1,500
Direct Labor (1,000 hours @ $8.50) $8,500
Variable Overhead (1,000 hours @ $4)* $4,000
Fixed Overhead** $1,400 $15,400
*Applied on the basis of direct labor hours
**Applied at the rate of 10% of variable cost.
The company has now been requested to prepare a bid for 150 units of the same product. If an 80% learning curve is applicable, Moss Point's total cost on this order of 150 units would be estimated at:
Hints: Learning Curve Formula: Total Time Required=Time Req'd for the first batch of units*(2*LC)^n LC= Learning Curve %, n=number of unit(or batch) doublings
Find the total batch of 200, and subtract out original batch of 50, to find units 51-200.
Bid for 150 units: | |||||||
Step: 1 | Find labor hours for 200 units | ||||||
50 units | 1000 | hours | |||||
100 units | 1800 | hours | |||||
(1000*180%) | |||||||
200 units | 3240 | hours | |||||
(1800*180%) | |||||||
Step: 2 | Labor hours for 50 units=1000 hours | ||||||
Step:3 | Labor hours for 150 units=Step 1-Step 2=3240-1000=2240 hours | ||||||
Step:4 | Compute bid for 150 units | ||||||
Direct materials | (1500/50)*150 | 4500 | |||||
Direct labor | (2240*8.50) | 19040 | |||||
Variable overhead | (2240*4) | 8960 | |||||
Fixed overhead | (4500+19040+8960)*10% | 3250 | |||||
Total cost | 35750 | ||||||
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