Question: Consider the following linear program: Max 5x1 + 7x2 s.t. x1 6 2x1 + 3x2 19 x1 + x2 8 x1, x2 0 The graphical

Consider the following linear program: Max 5x1 + 7x2 s.t. x1 6 2x1 + 3x2 19 x1 + x2 8 x1, x2 0 The graphical solution to the problem is shown below.

From the graph, we see that the optimal solution occurs at x1 = 5, x2 = 3, and z = 46.

Shadow price of the second constraint is:

X1 + X2 38 MAX 5X1 + 7X2 - X1

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