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Determine Optimal Solution & Optimal Objective Funtion Value

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Problem 1 consider the following problem:

Min x + 2y
s.t.
x+4y<=21
2x+y>=7
3x+111.5y<=21
x,y >= 0

Using the graphical method, determine the optimal solution and the optimal objective function value. You must provide a graph indicating the feasible region, an objective function line, the optimal direction and the optimal solution.

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