A diet is to contain atlest 80 units of vitamin A and 100 units of minerals. Two foods `F_(1) and F_(2)` are available. Costs Rs. 6 per unit. One unit of food `F_(1)` contains 3 units of vitamin A and 4 units of minerla 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 that consists of mixture of these two foods and also meets the minimal nutritional requirements.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain atleast 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 vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture .

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 vitamin C. Food I' contains 2 units/kg of vitamin A and I unit/kg of vitamin C. Food 'Il' contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50 per kg to purchase food T and Rs 70 per kg to purchase food I'. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

If the unit of force is 100N, unit of length is 10m and unit of time is 100s. What is the unit of Mass in this system of units?

What is the SI unit of linear momentum?

A housewife wishes of mix two kinds of food X and Y in such a way that the mixture contains atelst 10 units of vitamin A, 12 units of vitamin B and 8 vitamin C. the vitamin content of one kg of food is given below. One kg of food X costs Rs. 6 and one kg of food Y costs Rs. 10. Formulate the above problem as a linear prgramming problem to find the least cost of mixture which will produce the dict.

A dietician has to develop a special diet us ing two foods P and Q. Each packet (containing 30g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and almost 300 units of cholesterol. How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?

(Diet problem): A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units oif calcium, 4 units iof iron, 6 units of cholesteroa and 6 units of vitamiin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholestero. How many packets of each food should be used to minimise the maount of vitamin A in the diet? What is the minimum amount of vitamin A?

The magnitude of the resultant of the two orthogonal vectors of 3 units and 4 units is :