An agro-based company produces tomato souce and tomato jelly. The quantity of material, machine hour, labour (man hour) required to to produce one unit of each product and the avilability of raw material one given is the following table.
Assume that one unit of source and of unit of Jelly, yield a profit of Rs 2 and Rs 4 respectively. Formulate the L.P.P so as to yield maximum profit.

A factory uses three different respurce for the manufacture of two different products, 20 units of the resource A, 12 units of B and 16 unit of C being available. One unit of the first product requires 2,2 and 4 units of the resources and one unit of the second product requires 4,2 and 0 units of the resources taken in order. It is known that the first product gives a profit of ₹20 per unit and the second ₹ 30 prt uniy. Formulate the LPP so as to earn maximum profit.

A company produces three types of cloth A,B and C. Three kinds of wool, say red, green and blue are required for the cloth needs 2 metres of red and 3 etres of blue wool, one unit length of type B cloth needs 3 metres of red, 2 metres of green and 2 metres of blue wool and one unit length of type C cloth needs 5 metres of green and 4 metres of blue wool. The firm has a stock of only 80 metres of red, 100 metres of green and 150 metres of blue wool. Assuming that income obtained from one unit length of cloth is ₹30, ₹50 and ₹ 40 of types . A, B and C respectively, formulate the LPP so as to maximize income.