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A furniture firm manufactures chairs and tables, each requiring the use of

A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C . Production of one chair requires 2 hours on A , 1 hour on B and 1hour on C. Each table requires 1hour each on A and B and 3 hours on C. The profit obtained by selling a chair is Rs.30 while by selling a table the profit is Rs.60. The total time available per week on A is 70hours, on B is 40hours and on C is 90hours. How many chairs and tables should be made per week so as to maximise profit? Formulate a L.P.P and solve it graphically.

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