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"The Diet Problem": Suppose that a thrifty patient of limited means was advised by his doctor to increase the consumption of Vegetablel and Vegetable2 in his diet. In each meal he must get no less than 200 cal from this combination and no more than 14 units of fat. When he consulted his diet book, he found the following information: there are 150 cal in a kg of Vegetablel and 200 cal in a kg of Vegetable2. However there are 14 units of fat in a kg of Vegetablel and 4 units of fat in a kg of Vegetable2. Vegetablel costs at least Rs.30 per kg and Vegetable2 costs at least Rs.50 per kg. He can afford to pay only the least price. How do he meet the requirement set by the doctor?

"The Diet Problem": Suppose that a thrifty patient of limited means was advised by his doctor to increase the consumption of Vegetablel and Vegetable2 in his diet. In each meal he must get no less than 200 cal from this combination and no more than 14 units of fat. When he consulted his diet book, he found the following information: there are 150 cal in a kg of Vegetablel and 200 cal in a kg of Vegetable2. However there are 14 units of fat in a kg of Vegetablel and 4 units of fat in a kg of Vegetable2. Vegetablel costs at least Rs.30 per kg and Vegetable2 costs at least Rs.50 per kg. He can afford to pay only the least price. How do he meet the requirement set by the doctor?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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1. "The Diet Problem": Suppose that a thrifty patient of limited means was advised by his doctor to increase the consumption of Vegetable1 and Vegetable2 in his diet. In each meal he must get no less than 200 cal from this combination and no more than 14 units of fat. When he consulted his diet book, he found the following information: there are 150 cal in a kg of Vegetable1 and 200 cal in a kg of Vegetable2. However there are 14 units of fat in a kg of Vegetable1 and 4 units of fat in a kg of Vegetable2. Vegetablel costs at least Rs.30 per kg and Vegetable2 costs at least Rs.50 per kg. He can afford to pay only the least price. How do he meet the requirement set by the doctor?
Transcribed Image Text:1. "The Diet Problem": Suppose that a thrifty patient of limited means was advised by his doctor to increase the consumption of Vegetable1 and Vegetable2 in his diet. In each meal he must get no less than 200 cal from this combination and no more than 14 units of fat. When he consulted his diet book, he found the following information: there are 150 cal in a kg of Vegetable1 and 200 cal in a kg of Vegetable2. However there are 14 units of fat in a kg of Vegetable1 and 4 units of fat in a kg of Vegetable2. Vegetablel costs at least Rs.30 per kg and Vegetable2 costs at least Rs.50 per kg. He can afford to pay only the least price. How do he meet the requirement set by the doctor?
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