Linear Programming Models-Problem

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The mathematical relationships that follow were formulated by an operations research analyst at the
Smith-Lawton Chemical Company. Which ones are invalid for use in an LP problem and why?

Maximize profit = 4X1 + 3X1X2 + 8X2 + 5X3

subject to
2X1 + X2+ 2X3 ? 50

X1 – X2 ? 50
1.5X12 + 6X23X2 ? 21

19X2 – 0.35X3 = 17

5X1 + 4X2 + ? X3 ? 80

-X – X2 + X3 = 5

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