Home
Class 12
MATHS
A dietician wishes to mix two types of f...

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 f 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 50.00 per kg to purchase food I and Rs. 70.00 per kg to produce food II. Formulate the above linear programming problem to minimize the minimize the cost of such a mixture.

Text Solution

Verified by Experts

The correct Answer is:
Rs. 112
NA
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12.1|10 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12.2|11 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 12 A|8 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

  • MATRICES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exerice|15 Videos

Similar Questions

Explore conceptually related problems

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. Foot ‘I’ contain 2 units/kg of vitamin A and 1 unit/kg of vitamin C while food ‘II’ contain 1 unit/kg of vitamin A and 2 units/kg of vitamin C. it costs Rs. 5.00 per kg to purchase food ‘I’ and Rs. 7.000 per kg to produce food ‘II’. Determine the minimum cost to such a mixture. Formulate the above as a LPP and solve it.

A dietician wishes to mix two types of foods in such a way that the vitamin contents of the mixture contains at least 8 units of vitamin A and 10 units of vitamin C. Food I contains 2 units/kg of vitamin A and 1 units/kg of vitamin C while Food II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs.5 per kg to purchase Food I and Rs.7 per kg to purchase Food II. Determine the minimum cost of such a mixture. Formulate the above as a LPP and solve it graphically.

A woman wishes to mix two types of foods in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and at least 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 unit/kg of vitamin C. The cost of food I is Rs. 50/kg and of food II is Rs. 70/kg. Find the minimum cost of such a mixture.

Vitamin C is

Vitamin C is

A man wishes to mix two types of food X and Y in such a way that the vitamins contents of the mixture contain at least B units of vitamin A and 11 units of vitamin B. Food X costs Rs. 50 per kg and food Y costs Rs. 60 per kg. Fod X contains 2 units per kg of vitamin A and 5 kg per unit of vitamin B while food Y contains 5 units per kg of vitamin A and 2 units per kg of vitamin B. Determine the minimum cost of the 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 least 8 units of vitamin A and 11 units of vitamin B. Food P costs 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.

Vitamins are -

What is true of vitamin C

Antipellarga vitamin is