There are two types of fertilisers `F_(1)` and `F_(2),F_(1)` consists of 10% nitrogen and 6% phosphoric ancid and `F_(2)` consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If `F_(1)` costs Rs. 6/kg and `F_(2)` costs Rs. 5/kg determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?

1kg. Of rice costs Rs. 40 and 1kg. Or pulse cost Rs. 100. Let's find the ratio fo the price of rice and pulse.

Reshma wishes to mix two types of food P and Q in such as way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs. 60/kg and Food Q cost Rs. 80/kg. Food P contains 3 units/ kg of Vitamin A and 5 units/kg of Vitamin B while food Q contains 4 units/ kg of Vitalmin A and 2 units /kg of vitamin B. Determine the minilmum cost of the mixture.

How many types of gametes are required for F_(2) generation of a monohybrid cross ?

The total cost of 3 kg mustered -oil and 2 kg coconut -oil is Rs. 104. While the cost of 5kg mustered -oil and 3kg coconut-oil is Rs. 164 . Find the cost of 1 kg each of both mustered -oil and coconut.

My mother asked me to buy 2.5 kg of pulse.The cost of 1 kg of pulse is Rs. 62.50. Let me calculate how much money I must carry to the shop.

(Diet Problem): A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamins C. Food I contains 2 units/ kg of vitamins A and 1 unit/kg of vitamin C. Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamine C. It costs Rs. 50 per kg to purchase Food I Rs. 70 per kg to purchase Food II. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

A fruit vender makes a profit of Rs. 5 for every kg of mango he sells but gets a loss of Rs. 4 for each kg of Lichi he sells. He sold 10 kg of mango and 14kg of Lichi. Let’s find his profit or loss on the whole.

A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods F_(1) and F_(2) are available. Food F_(1) costs Rs. Rs. 4 per unit food and F_(2) costs Rs. 6 per unit. One unit of food F_(1) contains 3 units of vitamin A and 4 units of minerals. One unit of food F_(2) contains 6 units, of vitamin A and 3 units of minerals, Formulate this as a linear programming problem. Find the minimum cost for diet theat consists of mixture of these two food and also meets the minimal nutritional requirements.