Question: Consider the following Linear Programming (LP) problem. max 2 = 2x + x-3x3 + 5x + 2x + 2x3+4x4 40 2x1 +3 +224 8 4x12x2

Consider the following Linear Programming (LP) problem. max 2 = 2x + x-3x3 + 5x + 2x + 2x3+4x4 40 2x1 +3 +224 8 4x12x2 + x3-4 10 11, 12, 13, 14 20 Consider the optimal basis for the LP problem. Which one of the followings is true? The reduced cost of x1 is 0.375. Introducing x1 into the basis will decrease the objective value by 0.875 per unit. Introducing x4 into the basis will decrease the objective value by 0.875 per unit. In order to have x3 as a basic variable, its objective coefficient should be increased by at least 0.75 units

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