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29-10-2020
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Suppose that the average time before breakdown is normally distributed with a mean of 2.5 weeks and a standard deviation of .4 weeks. If breakdowns cost an average of $1,200 and preventive maintenance costs $800, what is the optimal maintenance interval

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adnansoomro2019 adnansoomro2019

30-10-2020

Answer:

2.67 weeks

Explanation:

Optimal maintenance is the discipline within operations research concerned with maintaining a system in a manner that maximizes profit or minimizes cost.

DATA

Preventive Cost = 1200

Breakdown cost = 800

Ratio = Preventive cost / breakdown cost

Ratio = 1200 / 800

Ratio = 0.67

Z value for 0.67 = 0.44

Optimal maintenance interval = Mean time + Z(Standard deviation)

Optimal maintenance interval = 2.5 + 0.44(0.4)

Optimal maintenance interval = 2.5 + 0.176

Optimal maintenance interval = 2.67 weeks

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