A manufacture make two types of furniture,chairs and tables.Both the products are processed on three machines `A_1,A_2 and A_3`.Machine `A_1` requires 3 hours for a chair and 3 hours for a table,machine `A_2`requires 5 hours for a chair and 2 hours for a table and machine `A_3` requires 2hours for a chair and 6 hours for a table.Maximum time available on machine `A_1,A_2 and A_3` is 36 hours,50 hours and 60 hours respectively.Profits are Rs.20 per chair and Rs.30 per table.Formulate the above as a linear programming problem to maximize the profit.
A manufacture make two types of furniture,chairs and tables.Both the products are processed on three machines `A_1,A_2 and A_3`.Machine `A_1` requires 3 hours for a chair and 3 hours for a table,machine `A_2`requires 5 hours for a chair and 2 hours for a table and machine `A_3` requires 2hours for a chair and 6 hours for a table.Maximum time available on machine `A_1,A_2 and A_3` is 36 hours,50 hours and 60 hours respectively.Profits are Rs.20 per chair and Rs.30 per table.Formulate the above as a linear programming problem to maximize the profit.
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