Question: Consider the following all-integer linear program. Max 5x + 8x2 s.t. 6x + 5x, $ 35 9x, + 4x, s 36 1x, + 2x, s

Consider the following all-integer linear

Consider the following all-integer linear program. Max 5x + 8x2 s.t. 6x + 5x, $ 35 9x, + 4x, s 36 1x, + 2x, s 12 * .*, 20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X2 X2 8 6 6 X1 X1 6 6 8 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) at (x,x5)=([ Using this solution, round down to find a feasible integer solution. at (x, *x) = (c) Find the optimal integer solution. at (x:xs) Is it the same as the solution obtained in part (b) by rounding down? O Yes O No

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