Question: Problem 1 Consider the following optimization problem: s.t. min 3x + y 3x + 2y = 30 -2x + 5y = 20 3x > 15

Problem 1 Consider the following optimization

Problem 1 Consider the following optimization problem: s.t. min 3x + y 3x + 2y = 30 -2x + 5y = 20 3x > 15 X, y 20 a. Solve this problem using LINGO. Please give the optimal solution as well as the optimal objective function value. b. Suppose we changed this problem to an integer program (i.e., we restricted x and y to take integer values). Would the optimal solution change? Why or why not? C. How much slack or surplus is there in each of the constraints at the LP optimal solution? d. Change the objective function from a minimization to a maximization problem. What does LINGO tell you about the optimal solution now? e. Keep the objective function as a maximization problem, add the constraint x + y

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