Question: 5. Consider the following mixed-integer linear program: Max 2x; + 3x2 s.t. 4x; + 9x2 = 36 7x; + 5x2 = 35 x1, x2 =

5. Consider the following mixed-integer linear

5. Consider the following mixed-integer linear program: Max 2x; + 3x2 s.t. 4x; + 9x2 = 36 7x; + 5x2 = 35 x1, x2 = 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? Find the optimal solution for the mixed-integer linear program. c

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