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SELF test 5. Consider the following mixed-integer linear program: Max 2x + 3x s.t. 4x +9x 36 7x + 5x 35 x1, x20 and

SELF test 5. Consider the following mixed-integer linear program: Max 2x + 3x s.t. 4x +9x 36 7x + 5x 35 x1, x20 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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