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Maximize the objective function 2x + 3y subject to the constraints that x + twice y is at most 6; and the sum of 5 times x and 3 times y is at most 15; with both decision variables non-negative.

Find the optimal solution using linear programming and the graphical solution procedure. What is the value of the objective function at the optimal solution?

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Find the optimal solution using linear programming and the graphical solution procedure. What is the value of the objective function at the optimal solution?

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