Manager of oil refinery wants to decide on the optional mix of two possible blending processes 1 and 2 of which the inputs and outputs per production run are as follows: The maximum amounts available of Crudes A and B are 200 units and 150 units respectively. At least 100 units of Gasoline X and 80 units of Y are required. The profit per production run from processes 1 and 2 are Rs. 3000 and Rs. 4000 respectively. Formulate the above as L.P.P.

Farm productivity per unit is low in

A manufacturer produces two models of bikes model X and model Y. Model X takes a 6 man hours to make per unit, while Model Y takes 10 man-hours per unit. There is a total of 450 man-hour available per week. Handling and Marketing costs are Rs. 2000 and Rs. 1000 per unit for Models X and Y respectively. The total funds available for these purposes are Rs. 80,000 per week. Profits per unit for Models X and Y are Rs. 1000 and Rs. 500, respectively. How many bikes of each model should the manufacturer produce, so as to yield a maximum profit ? Find the maximum profit.

Let the production function of a firm be Q=5L^(1//2)K^(1//2) . Find the maximum possible output that the firm can produce with 100 units of L and 100 units of K.

Food X contains 6 units of vitamin A per g and 7 units of vitamin B per g and costs Rs 2 per g. Food Y contains 8 units of vitamin A per g and food Y contains 8 units of vitamin A per g and 12 units of vitamin B per g and costs Rs 2.50 per g. The daily minimum requirement of vitamin A and vitamin B are 100 units and 120 uniys respectively. Formulate the above as a LPP to minimize the cost.

A producer has 30 and 17 units of labour and capital respectively which he can use to produce two of goods X and Y. To produce one unit X, 2 units of labour and 3 units of capital are required. Similarly, 3 units of labour and 1 unit of capital is required to produce one unit of Y. If X and Y are priced at Rs. 100 and Rs. 120 per unit respectively to should be producer use his resources to maximize the total revenue?

4 units of a factor of production produce 100 units of output, and 5 units produce 120 units of output, Calculate MP of that factor.

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.