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 o 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, 990 pounds of nitrogen, and 200 pounds of potash. If mix A costs $25 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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Life Sci 5.3.51
Question Help C
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, 990 pounds of nitrogen, and 200 pounds of potash. If mix A costs $25 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?
If mix A costs $25 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend 26 yd3 of mix A and 7 yd3 of mix B to meet the minimum monthly
requirements at a minimum cost.
The cost is $
Transcribed Image Text:Life Sci 5.3.51 Question Help C 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, 990 pounds of nitrogen, and 200 pounds of potash. If mix A costs $25 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? If mix A costs $25 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend 26 yd3 of mix A and 7 yd3 of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,