Question: 6. Consider the following all-integer linear program: max 50 +8.12 s.t. 9.r + 4.0, 0 and integer. a. Graph the constraints for this problem. Use

6. Consider the following all-integer linear

6. Consider the following all-integer linear program: max 50 +8.12 s.t. 9.r + 4.0, 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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