A farm house uses atleast 800 kg of special food daily. The special food is a mixture of corn and soyabean with the following compositions The dietary requirements of the special food stipulate atleast 30% protein and at most 5% fibre. Determine the daily minimum cost of the food mix.
Text Solution
Verified by Experts
The correct Answer is:
Rs 11294
Topper's Solved these Questions
APPENDIX 1 INFINITE SERIES
NCERT GUJARATI|Exercise EXAMPLE|5 Videos
BINOMIAL THEOREM
NCERT GUJARATI|Exercise Miscellanous exercise on chapter 8|10 Videos
Similar Questions
Explore conceptually related problems
A housewife wishes to mix together 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 of food is given below. One kg of food x costs Rs. 60 and one kg of food y costs Rs. 100. Find the least cost of the mixture which will product the diet.
(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.
(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 units/kg of vitamin C. It costs Rs. 50 per kg. to purchase Food 'I' and Rs. 70 per kg. to purchase Food 'II'. Formulate this problem as a linear programming problem to minimise the cost of such a mixture.