Question: 2. a. A factory uses three different resources for the manufacture of two different products. 20 units of resource A, 12 units of B and

2. a. A factory uses three different resources for the manufacture of two different products. 20 units of resource A, 12 units of B and 16 units of being available. 1 unit of first product requires 2, 2, and 4 units of the respective resources and 1 unit of second product requires 4, 2 and 0 units of the respective resources. It is known that the first product gives a profit of $2 per unit and the second $3. Formulate the linear programming model. 2(b) Consider a corner point to a linear programming problem, which lies at the intersection of the following two constraints: 6X1 + 15X2 < 390 2X1 + X2 < 50 What is the value of X1 and x2? 2 (c) A manager is interested in deciding production quantities for products A, B, and C. He has an inventory of 20 tons each of raw materials 1, 2, 3, and 4 that are used in the production of products A, B, and C. He can further assume that he can sell all of what he makes. Which of the following statements is CORRECT? How many decision variables the has in this LP model?

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