A manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 11 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below:                                    WAREHOUSE     Moncton Montreal Calgary FACTORY Toronto $14 $6 $18 Winnipeg $22 $17 $9 The manufacturer wants to determine the optimal shipping schedule that will minimize transportation costs. Formulate the linear programming model for this problem.

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 A manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 11 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below:

 

                                 WAREHOUSE

 

 

Moncton

Montreal

Calgary

FACTORY

Toronto

$14

$6

$18

Winnipeg

$22

$17

$9

The manufacturer wants to determine the optimal shipping schedule that will minimize transportation costs. Formulate the linear programming model for this problem.

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