Find the optimal solution to the lp relaxation round down, Operation Management

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Find the optimal solution to the lp relaxation round down

Consider the following all-integer linear program:

Max s.t.

5x1 + 8x2

6x1 + 5x2 ... 30
9x1 + 4x2 ... 36
1 x1 + 2 x2 ... 10
x1, 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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Operation Management: Find the optimal solution to the lp relaxation round down

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Operation Management: Find the optimal solution to the lp relaxation round down

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