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5. Consider the following mixed-integer linear program: Max 2x + 3x, s.t. 4x, + 9x, 536 7.x, + 5x, 5 35 X x 2 0

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5. Consider the following mixed-integer linear program: Max 2x + 3x, s.t. 4x, + 9x, 536 7.x, + 5x, 5 35 X x 2 0 and x, integer a. Graph the constraints for this problem, Indicate on your graph all feasible mixed- integer solutions. b. Find the optimal solution to the LP Relaxation. Round the value of x, down to find a feasible mixed-integer solution. Is this solution optimal? Why or why not? c. Find the optimal solution for the mixed-integer linear program

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