The company has now been requested to prepare a bid for 150 units of the same product.
The first lot size was 50 units, which was produced at a total cost of $15,400 ($1,500 for materials and $13,900 for labor and overhead). Materials costs are strictly variable and should remain proportional to production. The labor ($8,500) and variable overhead ($4,000) costs (labor-related), however, will be affected by the learning curve. The average cost per lot for labor and variable overhead after 100 units have been produced should be 80% of the costs of the first lot of 50 units. Thus, the average labor and variable overhead cost per 50-unit lot will be $10,000 ($12,500 × 80%).
If production doubles again (to a total production of 200 units or four lots of 50 each), the cumulative average cost for labor and variable overhead will be $8,000 per lot ($10,000 × 80%). Given four lots of 50 each, at an average cost of $8,000 per lot, the total cost for labor and variable overhead must be $32,000. Adding $6,000 for raw materials ($1,500 per 50-unit lot) gives a total variable cost of $38,000 for 200 units. Fixed overhead is 10% of total variable cost, so total cost is $41,800. The total cost for the last 150 units is $26,400 ($41,800 – $15,400).
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