In a job shop, effective capacity is only 50 percent of design capacity, and actual output is 80 percent of effective capacity. What design capacity would be needed to achieve an actual output of eight jobs per week?

Respuesta :

Answer: Design capacity = 20 jobs/week.

Step-by-step explanation:

Since we have given that

Actual output = 8 jobs per week

So, 80% of effective capacity = actual output

[tex]0.8\times x=8\\\\x=\dfrac{8}{0.8}\\\\x=10\ jobs/week[/tex]

50% of design capacity = effective capacity.

So, it becomes,

[tex]0.5\times \text{design capacity}=10\\\\\text{design capacity}=\dfrac{10}{0.5}=20\ jobs/week[/tex]

Hence, Design capacity = 20 jobs/week

The design capacity that  would be needed to achieve an actual output of eight jobs per week is 20 per week.

First step is to calculate the effective capacity using this formula

Effective capacity=Actual output per week/Actual output of effective capacity

Let plug in the formula

Effective capacity=8/0.8

Effective capacity=10 per week

Now let calculate the design capacity

Design capacity=10/0.5

Design capacity=20 per week

Inconclusion the  design capacity that  would be needed to achieve an actual output of eight jobs per week is 20 per week.

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