A packet of plain biscuits costs Rs 6 and that of chocolate bisuits costs Rs 9. A house-wife has Rs 72 and wants to buy at least three packets of plain biscuits and at least four of chocolate biscuits. How many of each type should she buy so that she can have maximum number of packets? Make it as a LPP and solve it graphically.

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 manufacturing company makes two types of television sets, one is black and white and the other is colcoured. The company has resources to make atmost 300 sets a week. It takes Rs.1800 to make a black and white set and Rs.2700 to make a colured set. The company can spend not more thatn Rs.648000 a week to make television sets. if it makes a profit of Rs.510 per black and white set and Rs.675 per coloured set. how many sets of each type should be produced so that the company has maximum profit?

A merchant planes to sell two types of personal computers -a desktop model and a portain model that will cost Rs. 2500 and Rs. 40000 respectively. He estimates that the total montain demand of computers will not exceed 250 units. Determine the number of units of easy type of computers which the merchant should stock to get maximum profit it he does want to invest more than Rs. 70 lakhs and if his profit on the desktop model is Rs. 4500 on portable model is Rs. 5000. Make an L.P.P and solve it graphically.

A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for at least 5 hours a day. She produces only two items M and N each on the three machines are given in the following table: SHe makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum Profit?

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs 5670 to invest and has a space for at most 20 items. An electronic sewing machine costs him Rs 360 and manually operated sewing machine Rs 240. He can sell electronic sewing machine at a profit of Rs 22 and a manually operated sewing machine at a profit of Rs 18. Assumning that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. Make it a linear programming problem and solve it graphically. Keeping the rural background in mind justify the values to be promoted for the selection of the manually operated machine.

A company sells two different products A and B. The two products in a common production process which has a total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce to unti of B. the demand in the market shows that the maximum number of unit of A that can be sold is 70 that for B is 125. Profit on each unit of A is Rs.20 and that on B is Rs.15. How many units of A and B should be produced to maximize the profit? solve it graphically.

A farmer has a supply of chemical fertilizer of type A which contains 10 % nitrogen and 6% phosphoric acis and type B fertilizer which contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition of a field, it is found that at least 14 kg of nitrogen and 14 kg of phosphoric acid are required for a good crop. The fertilizer type A costs Rs 5 per kg and type B Rs 3 per kg. How many kilograms of each fertilizer should be used to meet the requirements and the cost be minimum? Using LPP, solve the above problem graphically.