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 460 pounds of phosphoric acid, 960 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 per cubic yard and mix B costs $40 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 $25 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend yd of mix A and yd of mix B to meet the minimum monthly requirements at a minimum cost.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Strictly homework not quiz! It only shows the first question but it’s a two part...if you look in the problem it asks about the cost. If you could help with that as well! THANK YOU
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
460 pounds of phosphoric acid, 960 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 per cubic yard and mix B costs $40 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 $25 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend
] ya³ of mix A and yd3 of mix B to meet the minimum monthly
requirements at a minimum cost.
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 460 pounds of phosphoric acid, 960 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 per cubic yard and mix B costs $40 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 $25 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend ] ya³ of mix A and yd3 of mix B to meet the minimum monthly requirements at a minimum cost.
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