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(A2,2) The Pacific Boat Company, which is under contract to theNavy, assembles troop deployment boats. As part of its researchprogram, it completes the assembly of

(A2,2) The Pacific Boat Company, which is under contract to theNavy, assembles troop deployment boats. As part of its researchprogram, it completes the assembly of the first of a new model(PT109) of deployment boats. The Navy is impressed with the PT109. It requests that Pacific Boat submit a proposal on the cost of producing another six PT109s. Pacific Boat reports the following cost information for the first PT109 assembled and uses a 90% cumulative average-time learning model as a basis for forecasting direct manufacturing labour-hours for the next six PT109s. (A 90% learning curve means b =0.152004.)

Direct material cost

$199,000

Direct manufacturing labour time for first boat

14,700

labour-hours

Direct manufacturing labour rate

$42

per direct manufacturing labour-hour

Variable manufacturing overhead cost

$26

per direct manufacturing labour-hour

Other manufacturing overhead

20%

of direct manufacturing labour costs

Tooling costs (a)

$279,000

Learning curve for manufacturing labour time per boat (b)

90%

cumulative average time

a

Tooling can be reused at no extra cost because all of its cost has been assigned to the first deployment boat.

b

Using the formula for a 90% learning curve, b = image text in transcribed

Required

1.

Calculate predicted total costs of producing the six PT109s for the Navy. (Pacific Boat will keep the first deployment boatassembled, costed at $1,477,600, as a demonstration model for potential customers.)

*The total cumulative time in labour-hours for seven PT109s is 76,552 hours; therefore, the total time to produce six PT109s is 61,852 hours.

2.

What is the dollar amount of the difference between (a) the predicted total costs for producing the six PT109s in requirement1, and (b) the predicted total costs for producing the sixPT109s, assuming that there is no learning curve for direct manufacturing labour? That is, for (b) assume a linear function for units produced and direct manufacturing labour-hours.

In 0.90 In 2 - 0.105361 0.693147 -0.152004

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