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A contractor intends to bid on a job installing 30 airport security systems. Bec

ID: 397171 • Letter: A

Question

A contractor intends to bid on a job installing 30 airport security systems. Because this will be a new line of work for the contractor, he believes there will be a learning effect for the job. After reviewing time records from a similar type of activity, the contractor is convinced that an 85 percent curve is appropriate. He estimates that the first job will take his crew eight days to install.

How many days should the contractor budget for

a. The first 10 installations? (Do not round intermediate calculations. Round your final answer to 3 decimal places.)

Number of days           

b. The second 10 installations? (Do not round intermediate calculations. Round your final answer to 3 decimal places.)

Number of days           

c. The final 10 installations? (Do not round intermediate calculations. Round your final answer to 3 decimal places.)

Number of days      

Explanation / Answer

We will use data from Learning Curve table to derive the necessary answer .

Time taken to do the first job = 8 days

Learning rate = 85 percent

Basis above data and using learning curve:

Time taken to do first 10 installations = 56.929 hours

Time taken to do first 20 installations = 99.218 hours

Time taken to do first 30 installations = 136.725 hours

Time taken to do first 10 installations = 56.929 hours

Time taken to do second 10 installations

= Time taken to do first 20 installations – Time taken to do first 10 installations

= 99.218 hours – 56.929 hour

= 42.289 hours

Time taken to do final 10 installations

= Time taken to do first 30 installations – Time taken to do first 20 installations

=136.725 hours – 99.218 hours

= 37.507 hours

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