Project #10797 - assignment problem

Suppose that a taxi firm has four taxis available, and three customers wishing to be picked up as soon as possible. The firm prides itself on speedy pickups, so for each taxi the "cost" of picking up a particular customer will depend on the time taken for the taxi to reach the pickup point. The pickup time for each customer for each taxi is shown below:

 

 

Customer

Taxi

1

2

3

A

11 minutes

12 min.

14 min.

B

15

13

11

C

14

13

12

D

9

8

18

 

On a separate piece of paper, use the Hungarian method to determine which taxi should be sent to which customer in order to minimize costs.  Show ALL tables and calculations.  Indicate the final assignments and the total costs. If multiple solutions exist show all optimal assignment possibilities.

 

BE SURE TO SHOW ALL WORK TO RECEIVE CREDIT.

Subject Business
Due By (Pacific Time) 08/13/2013 07:00 pm
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