11. A manufacturing company has three major departments for the manufacture of its two products A and B.

The weekly capacities are given as follows:

The marginal profit perunit from models A and Bare Rs 800 and Rs 500 respectively. Assuming thatthe company can sell any quantity that it produces, determine the optimum output for both the models. (Use simplex method.)
Write the dual of the linear programming problem formulated above. What is the economic interpretation of the dual variables that a manager can use for making better decisions?

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Department Per unit time requirement (hours) Hours available in a week A B I 2 3 II 7 7 42 70 III 7 70 722