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A dietician has to develop a special die...

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?

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Step by step text solution for 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? by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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(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?

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?

Knowledge Check

  • Inertia has the same unit as:

    A
    weight
    B
    force
    C
    mass
    D
    acceleration

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

    A
    13 Na atoms
    B
    4 Na atoms
    C
    6 Na atoms
    D
    8 Na atoms

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    A dietician wishes to mix together two kinds of food X and Y in such a way that the mix tue contains atleast 10 unitws of vitamin A 12 units of vitamin B and 8 units of vitamin c. The vitamin contents of one kg food is given below. One kg of food X costs Rs. 16 and one kg of food Y costs Rs. 20. find the least cost of the mixture which will produce the required diet.

    CGS unit of heat : calorie :: CGS unit of heat capacity:

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