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