Linear equations as matrices

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Reference no: EM13124798

1. In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.

Find matrices A, B, C, and X such that the maximization problem

Maximize z = 3x1 + 2x2 + x3

subject to: 2x1 + x2 + x3 < 150

2x1 + 2x2 + 8x3 < 200

2x1 + 3x2 + x3 < 320

with x1 > 0, x2 > 0, x3 > 0.

can be written as

Maximize CX

subject to: AX < B

with X > 0.

Reference no: EM13124798

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