LP to minimize the cost:

Assume the following,

Let “LA” be the gallons purchased at Los Angeles.

Let “MI” be the gallons purchased at Miami.

Let “HT” be the gallons purchased at Houston.

Let “NY” be the gallons purchased at New York.

Let “HL” be the gallons on hand while landing in LA.

Let “HM” be the gallons on hand while landing in Miami.

Let “HH” be the gallons on hand while landing in Houston.

Let “HN” be the gallons on hand while landing in New York.

The Linear Programming (LP) to minimize the fuel cost is as follows,

Min z=80LA+15HT+105NY+95MI

The above function subject to the following conditions,

“HL=HM+MI−2700 [1+(HL+HM)2000]” denotes the gallons on hand while landing in LA.

“HH=HL+LA−1500 [1+(HL+HH)2000]” denotes the gallons on hand while landing in Houston.

“HN=HH+HT−1700 [1+(HH+HN)2000]” denotes gallons on hand while landing in New York

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Solution Summary: The author explains the Linear Programming (LP) to minimize the fuel cost.

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Chapter 3 Solutions