# Use the method incorporating the duality.

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Minimize C = 4x1 + 2x2

Subject to the constraints

x1 + 2x2 >4

x1 + 4x2 >6

x1 >0, x2 >0

Use the method incorporating the duality.

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This solution is comprised of a detailed explanation to solve problem using the method incorporating the duality.

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Please see attached.

(P)

Minimize C = 4x1 + 2x2

Subject to the constraints

x1 + 2x2 >4

x1 + 4x2 >6

x1 >0, x2 >0

Let's denote the primal problem to be (P), then

the dual problem is

(D)

max ...

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