### Problem Statement**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.**### Instructions**a) Write the system of equations. Define the variables.**- Define variables to represent the number of pounds of corn, seeds, and beans. Then, create equations based on the nutritional content and required totals.**b) Write the augmented matrix for this problem.**- Formulate the augmented matrix by organizing the coefficients and constants from the system of equations.**c) Solve using Gauss-Jordan elimination method. Label answers.**- Apply the Gauss-Jordan elimination method to solve the system of equations represented by the augmented matrix. Clearly label the solutions, indicating how many pounds of each ingredient are needed.

The given data is as follows. Corn Seed Beans Requirement Fiber 10 10 10 400 Fat 10 20 20…

Answered: Happy Quack pet food is made from corn,…

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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A patient takes vitamin pills. Each day he must have at least 900 IU of vitamin A, 14 mg of vitamin B₁, and 80 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 2 mg of vitamin B₁, and 10 mg of vitamin C, and pill 2, which contains 90 IU of vitamin A, 2 mg of vitamin B₁, and 15 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 75¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 8 of pill 1 and 0 of pill 2. The minimum cost is $ 2. (Simplify your answers. Type integers or decimals.) b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. mg of vitamin C more than he needs. and He is receiving IU of vitamin A, mg of vitamin B₁, a (Simplify your answers.)
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