Jack Simpson, contract negotiator for Nebula Airframe Company, is currently involved in bidding on a follow-up government contract. In gathering cost data from the first three units, which Nebula produced under a research and development contract, he found that the first unit took 2,000 labor hours, the second took 1,200 labor hours, and the third took 1,130 hours.

In a contract for three more units, how many labor hours should Simpson plan for?

Respuesta :

Answer:

3,825.2 labor hours

Explanation:

Learning rate (Unit 1 and unit 2):

= Labor hour required for 2nd unit ÷ Labor hour required for 1st unit

= 1,200 ÷ 2,000

= 0.60

Learning rate (Unit 2 and unit 3):

= Labor hour required for 3rd unit ÷ Labor hour required for 2nd unit

= 1,130 ÷ 1,200

= 0.94

Average of learning rates = (0.60 + 0.94 ) ÷ 2

                                           = 0.77

As per learning curve calculator the value of 77% for 6 units = 4.0776

Cumulative time = Factor × Time of first unit

                           = 4.0776 × 2,000

                           = 8,155.2

Hence,

Time for next three units:

= Cumulative time - Sum of the time of first, second and third unit

= 8,155.2 - (2,000 + 1,200 + 1,130)

= 3,825.2 labor hours should Simpson plan for.

In calculating labor hours for the project, for three more units, Simpson should plan for at least 4, 330 labor hours.

Calculation

It is already stated in the question how long it took for each of the first three labor hours to be completed.

Unit 1 = 2,000 Labor hours

Unit 2 = 1,200 Labor hours

Unit 3 = 1, 130 Labor hours.

Therefore, the three projects took: 2000+1200+1130
= 4,330 Labor hours.

At the most, therefore, the next three units is likely to cost an average of 1,443 labor hours, that is 4,300/3 = 1, 433.33.

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