Question 12.SP.4: Capacity requirements planning. Given the following producti...

Capacity requirements planning. Given the following production schedule in units and the production standards for labor and machine time for this product, determine the labor and machine capacity requirements for each week. Then compute the percent utilization of labor and machines in each week if labor capacity is 200 hours per week and machine capacity is 250 hours per week.

Production Schedule:
Week 1 2 3 4
Quantity 200 300 100 150
Standard Times:
Labor .5 hour/unit
Machine 1.0 hour/unit
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Convert the quantity requirements into labor and machine requirements by multiplying the quantity requirements by the respective standard times (i.e., multiply each quantity by .5 to obtain the labor hours and multiply each quantity by 1.0 to obtain the machine hours):

Week 1 2 3 4
Quantity 200 300 100 150
Labor hours 100 150 50 75
Machine hours 200 300 100 150

To compute utilization, divide the capacity requirements by the available capacity (200 hours per week for labor and 250 hours per week for machine) and multiply by 100. The results are

Week 1 2 3 4
Labor 50%   75% 25% 37.5%
Machine 80% 120% 40%       60%

Note that machine capacity in week 2 is overutilized (i.e., capacity is insufficient) because the utilization exceeds 100 percent. To compensate, some production could be shifted to weeks 1 and/or 3 where labor and machine time are available.

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