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4.a. A small auto-repair shop has six cars in for repair. Only repairman Murat U

ID: 363312 • Letter: 4

Question

4.a. A small auto-repair shop has six cars in for repair. Only repairman Murat Usta is available to do repairs. He
estimates the following times needed to repair cars.

Car

1

2

3

4

5

6

Repair Time (minutes)

115

145

40

25

70

30

(a) Suppose that the cars’ owners are waiting in the rest room of the repair shop, and each car owner will leave the
shop when his/her car is finished. Furthermore, Murat Usta serves tea and cookies to his customers and this
costs him $6 per customer per hour of customer waiting time. Which sequence to repair the cars would you
recommend Murat Usta to follow?

Car

1

2

3

4

5

6

Repair Time (minutes)

115

145

40

25

70

30

Explanation / Answer

To reduce the cost of tea and cookies Murat Utsa should start from the car which will take least time to repair . SO, the sequence would be 4,6,3,5,1, and then 2. This is because no of customers waiting per hour will keep on decreasing with this sequence.

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