Home
Class 12
MATHS
(Diet problem): A dietician has to devel...

(Diet problem): A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units oif calcium, 4 units iof iron, 6 units of cholesteroa and 6 units of vitamiin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and at most 300 units of cholestero. How many packets of each food should be used to minimise the maount of vitamin A in the diet? What is the minimum amount of vitamin A?

Text Solution

Verified by Experts

The correct Answer is:
150 units.
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise EXERCISE 12.1 (SOLVE THE FOLLOWING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:)|6 Videos

  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise EXERCISE 12.1 (SHOW THAT THE MINIMUM OF Z OCCURS AT MORE THAN TWO PONTS)|4 Videos

  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • MATRICES

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

Similar Questions

Explore conceptually related problems

A dietician has to develop a special diet us ing two foods P and Q. Each packet (containing 30g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and almost 300 units of cholesterol. How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?

Inertia has the same unit as:

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 nutritional element A, 1.25 units of element B, and 3 units of element C. The minimum requirements of nutrients A, B and Care 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?

If the unit of force is 100N, unit of length is 10m and unit of time is 100s. What is the unit of Mass in this system of units?

Define unit of a physial quantity.

What are the units of heat used?

Each unit cell of NaCl consists of 4 chlorine ions and:

A diet is to contain atlest 80 units of vitamin A and 100 units of minerals. Two foods F_(1) and F_(2) are available. Costs Rs. 6 per unit. One unit of food F_(1) contains 3 units of vitamin A and 4 units of minerla one unit of food F_(2) contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.