Question: Consider the following all-integer linear program. Max 1x4 + 1x2 s.t. 4X1 7X2 $ 35 1x1 + 5x2 $ 15 2X1 + 1x2 $ 15

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x4 + 1x2 s.t. 4X1 7X2 $ 35 1x1 + 5x2 $ 15 2X1 + 1x2 $ 15 *1.*, 20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 8 81 81 6 61 4 4 2 X1 2 4 6 8 X1 2 4 6 8 6 8 6 8 (b) Solve the LP Relaxation of this problem. 9 at (xx, x2) = 8.1 ) X X (c) Find the optimal integer solution. 9 at (X;; *) = (8.1 X

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