Question: 6. (18 points) Consider the following all-integer linear program: maxs.t.5x1+8x29x1+4x2361x1+2x210x1,x20andinteger. a. Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.

6. (18 points) Consider the following all-integer linear program: maxs.t.5x1+8x29x1+4x2361x1+2x210x1,x20andinteger. 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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