Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 410. From the same shop 'Deeraj' purchases 2 pens,1 purse and 2 instrument boxes and pays Rs.290, while 'Sindhu' purchases 2pens,2 purses,2 instrument boxes and pays Rs. 440. Translate the equation into system of linear equations.

Arjun' purchased 3 pens,2 purses and 1 instrument box and pays Rs. 410.From the same shop 'Deeraj' purchases 2 pens,1 purse and 2 instrument boxes and pays Rs.290,while 'Sindhu' purchases 2pens,2 purses,2 instrument boxes and pays Rs. 440. The cost of one pen,one purse and one instrument box using matrix method.

Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41. From the same shop, Babu purchased 2 pencils, 1 instrument box and 2 pens and paid Rs 29 while Rajesh purchased 2 pencil, 2 instrument boxes and 2 pens and paid Rs.44. Formulate the problem into a system of linear equations.

Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41. From the same shop, Babu purchased 2 pencils, 1 instrument box and 2 pens and paid Rs 29 while Rajesh purchased 2 pencil, 2 instrument boxes and 2 pens and paid Rs.44. Find the cost of 1 pencil, 1 instrument box and 1 pen.

Solve the following system of linear equations. x+y+z=3 , y-z=0 , 2x-y=1

Consider the matrix A=[[2,5],[3,2]] Using A^-1 solve the system of linear equations 2x+5y=1 , 3x+2y=7

A man owns a field of area 1,000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1,400 to purchase young trees. He has the choice of two types of the tree. Type A requires 10 sq.m of ground per tree and cost. Rs. 20 per tree and type B requires 20 sq.m of ground per tree and cost Rs. 25 per tree. When fully grown, type A produces an average of 20 kg fruit Which can be sold at a profit of Rs. 2 per kg and type B produces. an average of 40 kg of fruit which can be sold at a profit.of Rs. 1.50 per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?

Consider the following information regarding the purchase of pens and penciles by the three students Ravi, Twinkle and Lal from a shop. Represent the above data in the form of a 3xx2 matrix. What does the entry in the 2^nd row and in the first column represent?

A firm deals with two kinds of fruit juices-pineapple and the, orange juice. These are mixed and two types of mixtures are obtained which is sold as soft drinks A and B , One tin of A need 4 litres of pineapple juice and 1 litre of orange juice. One tin of B needs 2 litres of pineapple and 3 litres of oranges juice. The firm has only 46 litres of pineapple juice and 24 litres of orange jụice. Each tin of A and B is sold at a profit of Rs. 4 /- and Rs. 3 /-respectively. How many tins of A and B should the firm produce to maximise profiț? Formulate the linear programming problem and solve it graphically.

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.