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A dietician has to develop a special diet using two foods P and Q. Each packet (containing 40 g) of food P contains 10 units of calcium, 6units of iron, 9 units of cholesterol and 3 units of vitamin A, while each packet of the same quality of food Q contains 7 units of calcium, 30 units of vitamin A. The diet requires atleast 280 units of calcium, atleast 420 units of iron and almost 320 units of cholesterol. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A?

A dietician has to develop a special diet using two foods P and Q. Each packet (containing 40 g) of food P contains 10 units of calcium, 6units of iron, 9 units of cholesterol and 3 units of vitamin A, while each packet of the same quality of food Q contains 7 units of calcium, 30 units of vitamin A. The diet requires atleast 280 units of calcium, atleast 420 units of iron and almost 320 units of cholesterol. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A?

Grade:Upto college level

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
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