Make 5 more problems of this kind using dice cards or birthdays and discuss with friends and teacher about their solutions.

Ramu studies in a school and his friends are discussing about drugs. They force him to use drugs and threaten to avoid him / harm him if he refuses. What should Ramu do?

Connect with sports Air is not a pure substance. It helps us in many ways from breathing to playing. Balloon sports are a very popular sport. The basis of how the balloon works is that, hot air is lighter than cool air. which makes balloon rise up Find out more about Hot Air balloons.

A manufacturer has 3 machines I, II and III installed in his factory. Machines I and II are capable of being operated for utmost 12 hours whereas machine III must be operated atleast for 5 hours a day. He produces only two items A and B each requiring the use of three machines. The number of hours required for producing 1 unit of each of the items A and B on the three machines are given below. He makes a profit of Rs 7600 on item A and Rs 400 on item B. Assume that he can sell all that he produces. (i) Formulate this as a linear programming problem. (ii) Solve the L.P.P by corner point method.

A chemist has one solution which is 50% acid and another solution which is 25 % acid. How much each should be mixed to make 10 litres of a 40 % acid solution ? (Use Cramer's rule to solve the problem).

A professor reads a greeting card received on his 50th birthday with + 2.5 D glasses keeping the card 25 cm away. Ten years later, he reads his farewell letter with the same glasses but he has to keep the letter 50 cm away. What power of lens should he now use?

One kind of cake requires 200 g of flour and 25 g of fat and another kind of cake requires 100 g flour and 50g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is not shortage of the other ingredients used in making the cakes.