Question: Consider the following all-integer linear program. Max 5x1 + 8x2 s.t. 6X1 + 5x, S 35 11x1 + 4x2 5 44 1x1 + 2x2 5

Consider the following all-integer linear

Consider the following all-integer linear program. Max 5x1 + 8x2 s.t. 6X1 + 5x, S 35 11x1 + 4x2 5 44 1x1 + 2x2 5 12 *1.X220 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X2 X2 8h X2 8 6 6 6! X1 o 6 8 6 8 6 X1 8 @ X2 8. (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) at (X1, X2) ,) = Using this solution, round down to find a feasible integer solution. at (x1, x2) = (O 1 (c) Find the optimal integer solution. at (X11 -x2) =( [ Is it the same as the solution obtained in part (b) by rounding down? Yes No

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