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Write the dual to the following linear program.max x + y2x + y 3x + 3y 5x, y 0Find the

Chapter 7, Problem 7.11

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QUESTION:

Write the dual to the following linear program.

\(\begin{array}{r} \max x+y \\ 2 x+y \leq 3 \\ x+3 y \leq 5 \\ x, y \geq 0 \end{array}\)

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QUESTION:

Write the dual to the following linear program.

\(\begin{array}{r} \max x+y \\ 2 x+y \leq 3 \\ x+3 y \leq 5 \\ x, y \geq 0 \end{array}\)

ANSWER:

Step 1 of 4

In linear programming, the duality theorem states that if a linear program has a bounded optimum, then so does its dual, and the two optimum values coincide.

The objective of the given problem is to maximize the function by finding the dual.

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