Question: Consider a profit maximization linear programming model of the product mix type. The decision variables are the amounts of the various products to produce, and

Consider a profit maximization linear programming

Consider a profit maximization linear programming model of the product mix type. The decision variables are the amounts of the various products to produce, and the objective is a sum of terms of the form mx, where x is the amount of some product to produce and m is the unit margin for that product. Now suppose you vary the coefficient m for one of the products. Which of the following is true about the change to the optimal solution? O a. If m increases, the optimal value of x for that product will certainly increase. O b. If m increases, the optimal value of the objective will certainly increase. O O c. Ifm increases and the optimal value of x for that product was positive, the optimal value of the objective will certainly increase. d. All of these choices are true

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