Question: Consider the linear program (P) Min Z = -3x1 + 6x2 s.t. 2x1 - 3x2 12 7x1 + 5x2 70 -14x1 +10x2 70 x1 0,

Consider the linear program

(P) Min Z = -3x1 + 6x2

s.t. 2x1 - 3x2 12

7x1 + 5x2 70

-14x1 +10x2 70

x1 0, x2 0.

(a) Find the solution to (P). (Graphing may be helpful.)

(b) Write the dual LP and determine its solution. Show your work

Consider the linear program (P) Min Z = -3x1 +

Problem 4 (about x4 points) Consider the linear program (P) Min Z=-3x1 + 6x2 s.t. 2x1 - 3x2 > 12 7x + 5x2 >70 -14x +10x2 >70 X120,X2

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