6. The Charm City Truck Rental Inc. has accumulated extra trucks at three of its truck leasing outlets, as shown in the following table:

Leasing Outlet Extra Trucks

1. Atlanta 70

2. St. Louis 115

3. Greensboro 60

The firm also has three outlets with shortages of rental trucks, as follows:

Leasing Outlet Truck Shortage

A. New Orleans 80

B. Cincinnati 50

C. Baltimore 45

The firm wants to transfer trucks from those outlets with extras to those with shortages at the minimum total cost. The following costs of transporting these trucks from city to city have been determined:

To (cost in dollars)

From A B C

1 75 80 45

2 115 50 55

3 100 60 40

For this transportation problem:

(a) Define the decision variables.

(b) Determine the objective function. What does it represent?

(c) Determine all the constraints. Briefly describe what each constraint represents.