Question: Consider the following all-integer linear program, Max Sx, + 8x 6x, + 5x, 25 11x, + 4%, $ 44 1x, + 2x2 5 8 X1,

Consider the following all-integer linear

Consider the following all-integer linear program, Max Sx, + 8x 6x, + 5x, 25 11x, + 4%, $ 44 1x, + 2x2 5 8 X1, X, 2D and Integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X2 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) at *xx31-( D. Using this solution, round down to find a feasible integer solution. at (x1, x2) = (c) Find the optimal integer solution. at (X1X2) - Is it the same as the solution obtained in part (b) by rounding down? Yes O No

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