A small machine shop has developed the following build schedule for producing fl

ID: 378933 • Letter: A

Question

A small machine shop has developed the following build schedule for producing flat bed trailers.

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Month --- Units

1 --- 10

2 --- 12

3 --- 18

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The learning rate for the trailers is believed to be 90 percent. The first unit required 100 hours to build. Each employee can provide 40 hours to the shop each week. Assume 4 working weeks per month. How many employees are required each month to meet this schedule? What is the average number of hours required to build each trailer in month 1, month 2, and month 3.

** PLEASE SHOW ALL WORK AND FORUMLAS NEEDED TO ARRIVE AT YOUR ANSWER. THANK-YOU!! **

Explanation / Answer

We will use data from Standard learning curve table for answering the question :

Time required to build first unit = 100 hours

Learning rate = 90%

Accordingly required data as follows:

Number of trailers to be built

Total time required ( Hours)

Average time required ( Hours )

Rounded to 2 decimal places

799.49

79.94

937.45

78.12

1138.37

63.24

Amount of time each employee can provide each month = 40 / week x 4 weeks = 160 hours

Hence ,

Number of workers required to build 10 trailers = 799.49 / 160 = 4.99 ( 5 rounded to nearest whole number )

Number of workers required to build 12 trailers = 937.45/160 =5,85 ( 6 rounded to nearest whole number )

Number of workers required to build 18 trailers = 1138.37/160 = 7.11 ( 8 rounded to nearest whole number )