7. Using two raw materials, a firm can produce up to three different products. In- puts and profit per unit of production of each of the products are given in the following table Input Raw Material Bi Profit ($) 45 17 30 Raw Material Bi Product 1 Product 2 Product 3 4 Suppose bi units of Bi and b2 units of B2 are available. (a) Formulate the mathematical model for the problem of determining a pro- duction schedule that maximizes profit, (b) Write out the dual problem (c) Using the dual problem, express as a function of the ratio of bi to b2 the maximum profit function.
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