Question: Problem3. (20 points) Consider the following linear program Max Z= Subject to 5x1 + 4x2+ 6x3 + 3x4 + 8x5 xi + 2x2+ 3x3 3x4

Problem3. (20 points) Consider the following linear program Max Z= Subject

Problem3. (20 points) Consider the following linear program Max Z= Subject to 5x1 + 4x2+ 6x3 + 3x4 + 8x5 xi + 2x2+ 3x3 3x4 4xi + 3x2+23+x4+ xs s 30 (Resource 2) x3x2x3xs S20 (Resource 3) S 20 (Resource 1) and You are given the facts that the basic variables in the optimal solution are x3, xi, and xs, and the inverse of the basic matrix B1is, -1 11 31 6 9 -3 2 -3 10 2 4 1 27 a) (10 points) Use the given information to identify the optimal solution. b) (10 points) Use the given information to identify the shadow prices for the three resources Problem3. (20 points) Consider the following linear program Max Z= Subject to 5x1 + 4x2+ 6x3 + 3x4 + 8x5 xi + 2x2+ 3x3 3x4 4xi + 3x2+23+x4+ xs s 30 (Resource 2) x3x2x3xs S20 (Resource 3) S 20 (Resource 1) and You are given the facts that the basic variables in the optimal solution are x3, xi, and xs, and the inverse of the basic matrix B1is, -1 11 31 6 9 -3 2 -3 10 2 4 1 27 a) (10 points) Use the given information to identify the optimal solution. b) (10 points) Use the given information to identify the shadow prices for the three resources

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