A dietician wishes to mix two kinds of food X and Y in such a way that the mixture contains atleast 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below :

One kg of food X cost Rs. 16 and one kg of food Y costs Rs. 20. Find the least cost of the mixture which will produce the required diet ?

A dietician wishes to mix two type of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and the 10 units of vitamin C. Food I contains 2 (unit)/(kg) of vitamin A and 1 (unit)/(kg) of vitamin C. Food II contains 1 (unit)/(kg) of vitamin A and 2 (unit)/(kg) of vitamin C. It costs Rs. (50)/(kg) to purchase food I and Rs. (70)/(kg) to purchase food II. Formulate this problem as a linear programming problem to minimise the cost of such a mixture ?

Write a note on vitamins.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain atleast of 8 units of the vitamine A and 11 units of vitamine B. Food P costs Rs . (60)/(kg) and Food Q costs Rs. (80)/(kg) . Food P contains 3 (units)/(kg) of vitamine A and 5 (units)/(kg) of vitamine B. While food Q contains 4 (unit)/(kg) of vitamine A and 2 (unit)/(kg) of vitamine B. Determine the minimum cost of the mixture.