Home
Class 12
MATHS
Food X contains 4 units of vitamin A per...

Food X contains 4 units of vitamin A per gram and 7 units of vitamin B per gram and cost 15 paise per gram . Food Y contains 6 units of vitamin A per gram and 11 units of vitamin B per gram and cost 22 paise per gram . The daily minimum requirement of vitamin A and B are 90 units and 130 units respectively . The formulation of LPP to minimize the cost is

Text Solution

Verified by Experts

The correct Answer is:
Min Z =14 at x = 4, y = 1
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II LINEAR PROGRAMMING PROBLEMS (E. Activities)|3 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II ASSIGNMENT PROBLEMS AND SEQUENCING (I. Select and write the most appropriate answer from the given alternatives for each sub question.)|12 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Part II LINEAR PROGRAMMING PROBLEMS (C. Fill in each of the following blanks)|12 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Food F_1 contains 5 units of vitamin A and 6 units of vitamin B per gram and costs 20 p/gm. Food F_2 contains 8 units of vitamin A and 10 units of vitamin B per gram and costs 30 p/gm. The daily requirements of A and B are at least 80 and 100 units respectively. Formulate the problem as a linear programming problem to minimize cost.

A fanner mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional element A, 11.25 units of element B, and 3 units of element C. The minimum requirements of nutrients A, B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?

A farmer mixes two brands P and Q of cattle feed. Brand P costing Rs. 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs. 200 per bag contains 1.5 units of nutritonal element A, 11.25 units of element B and 3 units of element C. The minimum requirements of nutrients A,B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?

A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C . Food I contains 2 units per kg of vitamin A and 1 unit per kg of vitamin C , while food II contains 1 unit per kg of vitamin A and 2 units per kg of vitamin C . It costs Rs 5 per kg to purchase food I and Rs 7 per kg to purchase food II . Identify the objective function so as to minimize the cost of mixture.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at leat 8 units of vitamin A and 11 units of vitamin B. Food P cost Rs. 60/kg and Food Q costs 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 vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

(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 vitamin C. Food "I" contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food "II" contains 1 unit/kg of vitamin A and 2 unite/kg of vitamin C. It costs Rs 50 per kg to purchase Food T and Rs 70 per kg to purchase Food "IF. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.

A diet of sick person contains at least 48 units of vitamin A and 64 uints of vitamin B. Two foods F_(1) andF_(2) are available . Food F_(1) costs Rs. 6 per unit and food F_(2) costs Rs. 10 per unit. One unit of food F_(1) contains 6 units of vitamin A and 7 units of vitamin B. One unit of of food F_(2) contain 8 units of vitamin A and 12 units of vitamin B. Formulate the LPP, for the minimum cost for the diet that consists of mixture of these two foods and also meeting the minimal nutrition requirements