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A carpenter has 90, 80 and 50 running fe...

A carpenter has 90, 80 and 50 running feet respectively of teak wood, plywood and rosewood which is used to produce product A and product B. Each unit of product A required 2, 1 and 1 running feet and each unit of product B requires 1, 2 and 1 running feet of teak wood, plywood and rosewood respectively. If product A is sold for Rs 48 per unit and product B is sold forRs 40 per unit, how many units of product A and product B should be produced and sold by the carpenter, in order to obtain the maximum gross income, Formulate the above as a Linear Programming Problem and solve it, indicating clearly the feasible region in the graph.

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