Question 15 options: At an electronics manufacturing facility, the quality of a

Question

Question 15 options:

At an electronics manufacturing facility, the quality of a device is examined sequentially in three steps before it is sent to the shipping department. The probability distributions for the time required to complete each of the inspection steps are given in the table above.

Considering that shorter times are better, compute total time to complete the three inspection steps for the worst case scenario.

Considering that shorter times are better, compute total time to complete the three inspection steps for the best case scenario.

Considering that shorter times are better, compute total time to complete the three inspection steps for the base case (most likely) scenario.

Step Time Probability 0.15 0.25 0.35 0.25 7 Step Time Probability 2 0.25 0.30 0.45 12 13 Step Time Probability 10 12 14 0.35 031) 0.45

Explanation / Answer

The worst case scenario will be for the maximum time.

Maximum time for step 1 = 7

Maximum time for step 1 = 13

Maximum time for step 1 = 14

Total time to complete the three inspection steps for the worst case scenario = 7 + 13 + 14 = 34

The best case scenario will be for the minimum time.

Maximum time for step 1 = 2

Maximum time for step 1 = 11

Maximum time for step 1 = 10

Total time to complete the three inspection steps for the worst case scenario = 2 + 11 + 10 = 23

Expected time for step 1 = 2 *0.15 + 3 * 0.25 + 5 * 0.35 + 7 * 0.25 = 4.55

Expected time for step 2 = 11 *0.25 + 12 * 0.30 + 13 * 0.45 = 12.2

Expected time for step 3 = 10 *0.35 + 12 * 0.20 + 14 * 0.45 = 12.2

Total time to complete the three inspection steps for the base case (most likely) scenario

= 4.55 + 12.2 + 12.2 = 28.95

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