Question: 5. Consider the following mixed-integer linear program: Max s.t. 2x1+ 3x2 4x1+ 9x2 ... 36 7x1+ 5x2 ... 35 x1, x2 0 and x1integer a.

5. Consider the following mixed-integer linear program:

Max

s.t.

2x1+ 3x2

4x1+ 9x2 ... 36

7x1+ 5x2 ... 35

x1, x2 0 and x1integer

a. Graph the constraints for this problem. Indicate on your graph all feasible mixedinteger

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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