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Consider the following all-integer linear program:
Max s.t.
5x1 + 8x2
6x1 + 5x2 ... 309x1 + 4x2 ... 361 x1 + 2 x2 ... 10x1, x2 Ú 0 and integer
a. Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.
b. Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution.
c. Find the optimal integer solution. Is it the same as the solution obtained in part (b) by rounding down?
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