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A firm has available 240, 370 and 180 kg of wood, plastic and steel respectively. The firm produces two products A and B. Each unit

A firm has available 240, 370 and 180 kg of wood, plastic and steel respectively. The firm produces two products A and B. Each unit of A requires 1, 3 and 2 kg of wood, plastic and steel respectively. The corresponding requirements for each unit of B are 3, 4 and 1 respectively. If A sells for Rs. 4 and B for Rs. 6, determine how many units of A and B should be produced in order to obtain the maximum income. Solve using simplex method.

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