A company products two aricles X and Y.There are two different departments through which the articles are processed namely assembly and finishing.The potential capacity of the assembly department is 60 hours,a week and that of finishing department is 48 hours a week.Production of one unit of X requires 4 hours of assembly and 2 hours of finishing.Each of the unit Y requires 2 hours in assembly and 4 hours in finishing.If profit is Rs.8 for each unit of X and Rs.6 for each unit of y,(i) formulate an LPP 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.

A factory makes tennis rackets and bats,A tennis racket takes 1.5 hours of machine and 3 hours of craftsman's time in its making,while a cricket bat takes 3 hours of machine time and 1 hour of craftman's time.In a day,the factory has availibilityof not more than 42 hours of machine time and 24 hours of craftman's time. if the profit on a racket and a bat isRs20 and Rs10 find maximum profit

Find the angle between the minute hand of a clock and hour hand when the time is 7.20.

A company manufactures two types of rovelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profit?

A firm manufactures two types of products A and B and sells them at a profit of Rs. 5 per unit of type A and Rs. 3 per unit of type B . Each product is processed on two machines M_1 and M_2 . One unit of type A requires one minute of processing time, on, M_1 and two minutes of processing time on M_2 whereas one unit of type B requires one minute of processing time on M_1 and one minute of M_2 . Machines M_1 and M_2 are respectively available for at most 5 hours and 6 hours a day. Find how many, units of each type of product should the firm produce a day, in order, to maximise the profit. Solve thè problem graphically.