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Consider the following mixed-integer linear program: Max 2x113x2 s.t. 4x1 1 9x2 # 36 7x1 1 5x2 # 35 x1, x2 $ 0 and x1

Consider the following mixed-integer linear program: Max 2x113x2 s.t. 4x1 1 9x2 # 36 7x1 1 5x2 # 35 x1, x2 $ 0 and x1 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 x1 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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