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1- Consider the following mixed-integer linear program: Max 2x1 + 3x2 s.t. 4x1 + 9x2 - 36 7x1 + 5x2 $ 35 X1, *2 2

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1- Consider the following mixed-integer linear program: Max 2x1 + 3x2 s.t. 4x1 + 9x2 - 36 7x1 + 5x2 $ 35 X1, *2 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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