Question

In: Operations Management

Question 1 options: Below is a table of times for Taxis (A to H) to reach...

Question 1 options:

Below is a table of times for Taxis (A to H) to reach Customers (1 to 8) who need a ride home after a night on the town. The goal is to Minimize the time it takes for all of the Taxis to reach their Customers. Only one Taxi will be sent to each Customer and each Customer needs only one Taxi.

Taxi / Cust

1

2

3

4

5

6

7

8

A

15

6

19

15

17

15

8

17

B

4

7

9

17

3

17

3

12

C

5

17

18

3

15

5

13

11

D

14

2

10

13

11

16

11

2

E

19

17

18

11

8

11

13

16

F

11

19

2

14

9

17

3

8

G

16

10

4

7

2

10

19

3

H

10

19

4

7

15

10

18

15





The optimal solution to this problem requires the following:


Taxi A picks up Customer


Taxi B picks up Customer


Taxi C picks up Customer


Taxi D picks up Customer


Taxi E picks up Customer


Taxi F picks up Customer


Taxi G picks up Customer


Taxi H picks up Customer




Minimum Cost =

Hint: Your cost should be between 33 and 39

Solutions

Expert Solution

Answer:

Taxi A picks up Customer 2

Taxi B picks up Customer 1

Taxi C picks up Customer 4

Taxi D picks up Customer 8

Taxi E picks up Customer 6

Taxi F picks up Customer 7

Taxi G picks up Customer 5

Taxi H picks up Customer 3

Minimum Cost = 35

Explanation:

It is an assignment problem which we can solve it using solver.

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