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4. A body builder wants to build lean muscle using two types of supplement packets. Each packet of Brand A contains 10 grams of fat, 3 grams of carbohydrates, and 15 grams of protein. Each packet of Brand B contains 5 grams of fat, 6 grams of carbohydrates, and 30 grams of protein. He has decided that from these two types of packets, he would like to take in a maximum of 40 grams of fat per day and a minimum of 150 grams of protein per day. How many packets of each brand should he take per day to minimize the intake of carbohydrates?

4. A body builder wants to build lean muscle using two types of supplement packets. Each packet of Brand A contains 10 grams of fat, 3 grams of carbohydrates, and 15 grams of protein. Each packet of Brand B contains 5 grams of fat, 6 grams of carbohydrates, and 30 grams of protein. He has decided that from these two types of packets, he would like to take in a maximum of 40 grams of fat per day and a minimum of 150 grams of protein per day. How many packets of each brand should he take per day to minimize the intake of carbohydrates?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. A body builder wants to build lean muscle using two types of supplement packets. Each packet of Brand A contains 10 grams of fat, 3 grams of carbohydrates, and 15 grams of protein. Each packet of Brand B contains 5 grams of fat, 6 grams of carbohydrates, and 30 grams of protein. He has decided that from these two types of packets, he would like to take in a maximum of 40 grams of fat per day and a minimum of 150 grams of protein per day. How many packets of each brand should he take per day to minimize the intake of carbohydrates?
Transcribed Image Text:4. A body builder wants to build lean muscle using two types of supplement packets. Each packet of Brand A contains 10 grams of fat, 3 grams of carbohydrates, and 15 grams of protein. Each packet of Brand B contains 5 grams of fat, 6 grams of carbohydrates, and 30 grams of protein. He has decided that from these two types of packets, he would like to take in a maximum of 40 grams of fat per day and a minimum of 150 grams of protein per day. How many packets of each brand should he take per day to minimize the intake of carbohydrates?
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