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Gorge's Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City. These are shipped...

Gorge's Sports Company manufactures treadmills in factories located in Pittsburgh and Kansas City. These are shipped to regional distribution centers in Chicago, Phoenix, and Philadelphia. Ultimately they are delivered to supply houses in New York and Los Angeles. Chicago, Phoenix and Philadelphia have maximum capacity of 1000 each. The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below.

To

From

Chicago

Phoenix

Philadelphia

New York

Los Angeles

Supply

Pittsburgh

$4

$8

$2

—

—

1500

Kansas City

$3

$6

$5

—

—

1000

Chicago

—

—

—

5

7

—

Phoenix

—

—

—

8

3

—

Philadelphia

—

—

—

2

9

—

Demand

—

—

—

1200

800

—

Formulate this problem as a linear program.

Math   Statistics-And-Probability   
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