A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains20pounds of phosphoric acid,30pounds of nitrogen, and5pounds of potash. Each cubic yard of mix B contains10pounds of phosphoric acid,30pounds of nitrogen, and10pounds of potash. The minimum monthly requirements are440pounds of phosphoric acid,960pounds of nitrogen, and200pounds of potash. If mix A costs$30per cubic yard and mix B costs$35per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen,and 10 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 960 pounds of nitrogen, and 200 pounds of potash. If mix A costs $30 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mixshould the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost?If mix A costs $30 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd3 of mix A and yd3 of mix B to meet the minimum monthly requirements at a minimum cost.

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Answered: A farmer can buy two types of plant…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains

pounds of phosphoric acid,

pounds of nitrogen, and

pounds of potash. Each cubic yard of mix B contains

pounds of phosphoric acid,

pounds of nitrogen, and

pounds of potash. The minimum monthly requirements are

440

pounds of phosphoric acid,

960

pounds of nitrogen, and

200

pounds of potash. If mix A costs

$30

per cubic yard and mix B costs

$35

per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost?

A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen,
and 10 pounds of potash. The minimum monthly requirements are 440 pounds of phosphoric acid, 960 pounds of nitrogen, and 200 pounds of potash. If mix A costs $30 per cubic yard and mix B costs $35 per cubic yard, how many cubic yards of each mix
should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost?
If mix A costs $30 per cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd3 of mix A and yd3 of mix B to meet the minimum monthly requirements at a minimum cost.

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