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Solve the following transportation problem: A company has refinery plants that produce gasoline with the following capacities Houston: 27000 gallons per day New Mexico: 35000

Solve the following transportation problem: A company has refinery plants that produce gasoline with the following capacities

Houston: 27000 gallons per day

New Mexico: 35000 gallons per day

The company supplies the following states:

California: 32000 gallons per day

Louisiana: 12000 gallons per day

Mississippi: 15000 gallons per day

Following are the transportation costs per gallon between each refinery and each customer.

Distribution centers

Plants California Louisiana Mississippi

Houston 0.75 0.40 0.65

New Mexico 0.50 0.70 0.80

Build a transportation network

Write down a linear program that optimizes transportation

Solve the lp and explain its solution

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