A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphorus acid, 30 grams of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphorus acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphorus acid, 930 pounds of nitrogen, and 200 pounds of potash. If mix A cost $20 per cubic yard and mix B cost $35 per cubic yard: a. How many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? b. 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 phosphorus acid, 30 grams of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphorus acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphorus acid, 930 pounds of nitrogen, and 200 pounds of potash. If mix A cost $20 per cubic yard and mix B cost $35 per cubic yard: a. How many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? b. What is this cost?
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 farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphorus acid, 30 grams of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphorus acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 430 pounds of phosphorus acid, 930 pounds of nitrogen, and 200 pounds of potash. If mix A cost $20 per cubic yard and mix B cost $35 per cubic yard:
a. How many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost?
b. What is this cost?
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