Posted: April 14th, 2021

Mixed-integer linear program: max 1×1 + 1

Consider the following mixed-integer linear program:
Max1x1 + 1×2
s.t.
7×1 + 9×2 = 63
9×1 + 5×2 = 45
3×1 + 1×2 = 12
x1, x2 ?Y 0 and x2 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 x2 down to find a feasible mixed-integer solution. Specify upper and lower bounds on the value of the optimal solution to the mixed-integer linear program.
c. Find the optimal solution to the mixed-integer linear program.

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