An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 35 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 70 units of fiber, 50 units of protein, and 30 units of fat. Each case of Brand C contains 175 units of fiber, 110 units of protein, and 60 units of fat. Each case of Brand D contains 140 units of fiber, 100 units of protein, and 50 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat? Let x represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat. If w = 0, the solution is (O.I.I, 0).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 35 units of fiber, 40 units of protein, and 40 units of fat. Each
case of Brand B contains 70 units of fiber, 50 units of protein, and 30 units of fat. Each case of Brand C contains 175 units of fiber, 110 units of protein, and 60 units of fat.
Each case of Brand D contains 140 units of fiber, 100 units of protein, and 50 units of fat. How many cases of each brand should the breeder mix together to obtain a food
that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat?
Let x represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number
of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat.
If w = 0, the solution is (.,, 0).
Transcribed Image Text:6.3.23-LS D Assigned Media Question Help An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 35 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 70 units of fiber, 50 units of protein, and 30 units of fat. Each case of Brand C contains 175 units of fiber, 110 units of protein, and 60 units of fat. Each case of Brand D contains 140 units of fiber, 100 units of protein, and 50 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat? Let x represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 2450 units of fiber, 1630 units of protein, and 930 units of fat. If w = 0, the solution is (.,, 0).
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