Home
Class 12
MATHS
A diet is to contain atleast 80 units of...

A diet is to contain atleast 80 units of vitamin A and 100 units of minerals.Two foods F1 and F2 are available.Food F1 costs Rs 4 per unit food and F2 costs Rs 6 per unit.One unit of food F1 contains 3 units of vitamin A and 4 units of minerals.One unit of food F2 contains 6 unit of of vitamin A and 3 units of minerals.Formulate this as a linear programming problem.Find the minimum costs for diet that consists of misture of these two foods and also meets the minimal nutritional requirements.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|97 Videos
  • MATRICES

    BODY BOOKS PUBLICATION|Exercise EXERCISE|107 Videos

Similar Questions

Explore conceptually related problems

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.

Food X contains 6 units of vitamins A and 7 units of vitamins B per gram and it costs 12 paise per gram.Food Y contains 8 units of vitamin A and 12 units of vitamins B per gram and it costs 20 paise per gram.Daily minimum requiremrnts of vitamin A and vitamin B are 100 units and 120 units respectively.Formulate the LPP mathematically so that the cost is to be minimized.

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 ?