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Find the range of optimality for Cx

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June 14th, 2023

You are given a linear programming problem that has already been solved. The following conditions hold:
(i) You are maximizing the objective function 6x + 5y
(ii) After solving the problem, you found that the optimal solution point occurs at the intersection of exactly two of the constraints, namely constraints: (1) 4x +2y ≤ 15 and (2) x + y ≤ 13

Find the range of optimality for Cx, the coefficient associated with variable x by hand using slopes.

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