A man has Rs 1500 for the manufacture of rice and wheat. A bag of rice and a bag of wheat costs Rs 180 and Rs 120 respectively. He has storage capacity of 10 bags only. He earns a profit of Rs 11 and Rs 9 per bag of rice and wheat respectively. Formulate the problem as an LPP to find the number of bags of each type he should buy to maximize the profit and solve it graphiclly.

A shopkeeper deals in two items: thermoflasks and airtight containers. A flask costs him Rs.120 and an airtight container costs him Rs.60. he has atmost Rs.12000 to invest and has space to store a maximum of 150 items. The profit on selling a flask is Rs.20 and that on airtiht container is Rs.15. assumint that he will be the able to sell all things to buys, how many of each item should be buy to maximise his profit? solve the problem graphically.

A manufacture of electronic circuits has a stock of 200 resistors, 120 transistors and 150 capacitors and is requried to produce two types of circuits A and B. Type A requires 20 resistors, 10 transistors and 10 capacitors. Type B requires 10 resistors, 20 transisitros and 30 capacitors. if the profit on type A circit is Rs.50 and that on type B circuit is Rs.60, formulate this problem as an LPP so that the manufacture can maximize his profit. also solve this LPP graphically to find the maximum profit.

A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.

A cement company earns a profit of Rs.8 per bag of white cement sold and a loss of Rs.5 per bag of grey cement sold. What is the number of white cement bags it mus sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.