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Happy Quack pet food is made from corn, seeds, and beans. Each pound of corn provides 10 units of fiber, 10 units of fat, and 10 units of protein. Each pound of seeds provides 10 units of fiber, 20 units of fat, and 20 units of protein. Each pound of beans provides 10 units of fiber, 20 units of fat, and 40 units of protein. How many pounds of each ingredient are needed to make a feed that supplies a total of 400 units of fiber, 600 units of fat, and 800 units of protein? Use G-J Elimination method. a) Write the system of equations. Define the variables.

Happy Quack pet food is made from corn, seeds, and beans. Each pound of corn provides 10 units of fiber, 10 units of fat, and 10 units of protein. Each pound of seeds provides 10 units of fiber, 20 units of fat, and 20 units of protein. Each pound of beans provides 10 units of fiber, 20 units of fat, and 40 units of protein. How many pounds of each ingredient are needed to make a feed that supplies a total of 400 units of fiber, 600 units of fat, and 800 units of protein? Use G-J Elimination method. a) Write the system of equations. Define the variables.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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1) Happy Quack pet food is made from corn, seeds, and beans. Each pound of corn provides 10 units of fiber, 10 units of fat, and 10 units of protein. Each pound of seeds provides 10 units of fiber, 20 units of fat, and 20 units of protein. Each pound of beans provides 10 units of fiber, 20 units of fat, and 40 units of protein. How many pounds of each ingredient are needed to make a feed that supplies a total of 400 units of fiber, 600 units of fat, and 800 units of protein? Use G-J Elimination method. a) Write the system of equations. Define the variables. b) Write the augmented matrix for this problem. c) Solve using Gauss-Jordan elimination method. Label answers.
Transcribed Image Text:1) Happy Quack pet food is made from corn, seeds, and beans. Each pound of corn provides 10 units of fiber, 10 units of fat, and 10 units of protein. Each pound of seeds provides 10 units of fiber, 20 units of fat, and 20 units of protein. Each pound of beans provides 10 units of fiber, 20 units of fat, and 40 units of protein. How many pounds of each ingredient are needed to make a feed that supplies a total of 400 units of fiber, 600 units of fat, and 800 units of protein? Use G-J Elimination method. a) Write the system of equations. Define the variables. b) Write the augmented matrix for this problem. c) Solve using Gauss-Jordan elimination method. Label answers.
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