The total cost of 3 televisions and 2 V.C.R.s is Rs. 35000. The shop-keeper wants profit of Rs. 1000 per television and Rs. 500 per V.C.R. He can sell 2 televisions and 1 V.C.R. and he gets the total revenue as Rs. 21,500. Find the cost and the selling price of a television and a V.C.R.

A capacitor of 50 muF is connected across a 100 V, 50 Hz a.c. supply. Find the reactance and the r.m.s. current.

Read the following passage write the appropriate amount in the boxes and discuss. Govind, who is a dry land farmer from Shiralas has a 5 acre land. His family inclde his wife two children and his old mother. He borrowed one lakh twenty five thousand rupees from the bank for one year as agriculatral loan at 10 p.c.p.a . He cultivated soyabean in x acres and cotton and tur in y acres. He spent Rs. 10,000 on seeds. The expenses for fertilizers and pesticides for the soyabean crop was 2000x rupees and 4000x2 rupees were spent on wages and cultivation of land. He spent 8000 y rupees on fertilizers and pesticides and rupees 9000 y2 for wages and cultivation of land for the cotton and tur crops. Let us write the total expenditure on all the crops by using variables x and y. rupees. He harvested 5x2 quintals soyabean and sold it at Rs. 2800 per quintal. The cotton crop yield was 5/3y2 quintals which fetched Rs. 5000 per quintal. The tur crop yield was 4y quintals and was sold at Rs. 4000 per quintal. Let us write the total income in rupees that was obtained by selling the entire farm produce, with the help of an expression using variables x and y. square + square + square rupees

A manufacturer produces three products A,B and C which he sells in market I and II. The annual sales are as shown below.(I) If the unit sale prices of A,B,C are Rs. 3, Rs. 2 and Rs. 4 respectively in market I and they are Rs. 4, Rs. 3 and Rs. 6 in market II. Find the total revenue in each market using matrix algebra.

A manufacturer produces three products A,B and C which he sells in market I and II. The annual sales are as shown below.(I) If the unit sale prices of A,B,C are Rs. 3, Rs. 2 and Rs. 4 respectively in market I and they are Rs. 4, Rs. 3 and Rs. 6 in market II. If the unit prices of A,B,C are Rs. 2.50, Rs. 1.50 and Rs. 3 respectively, then find the gross profit, using matrix algebra.

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C . Food I contains 2 units per kg of vitamin A and 1 unit per kg of vitamin C , while food II contains 1 unit per kg of vitamin A and 2 units per kg of vitamin C . It costs Rs 5 per kg to purchase food I and Rs 7 per kg to purchase food II . Identify the objective function so as to minimize the cost of mixture.