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 430 pounds of phosphoric acid, 930 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $30 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? yd of mix If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend yd of mix A and B to meet the minimum monthly requirements at a minimum cost. The cost is $

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter12: Algebra Of Matrices
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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 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 430 pounds of phosphoric acid, 930 pounds of
nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $30 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?
yd of mix A and
yd of mix
If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend
B to meet the minimum monthly requirements at a minimum cost.
The cost is $
Transcribed Image Text: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 430 pounds of phosphoric acid, 930 pounds of nitrogen, and 220 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $30 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? yd of mix A and yd of mix If mix A costs $20 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend B to meet the minimum monthly requirements at a minimum cost. The cost is $
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