Question: Consider the following all-integer linear program. Max 5x + 8x s.t. 6x, + 5x, s 35 9x + 4x, 5 36 1x + 2x, $

Consider the following all-integer linear

Consider the following all-integer linear program. Max 5x + 8x s.t. 6x, + 5x, s 35 9x + 4x, 5 36 1x + 2x, $ 12 X, X, 20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. . 8 OO (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) | *(8,4)=( Using this solution, round down to find a feasible integer solution. | * (*;, *)) =( (c) Find the optimal integer solution. at (x,x) = Is it the same as the solution obtained in part (b) by rounding down? Yes O No

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