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 420 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 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? COD If mix A costs $25 por cubic yard and mix B costs $35 per cubic yard, the farmer should blend yd² of mix A andyd" of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $840

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
420 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 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?
COD
If mix A costs $25 per cubic yard and mix B costs $35 per cubic yard, the farmer should blondyd" of mix A and yd" of mix B to meet the minimum monthly
requirements at a minimum cost.
The cost is $840
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 420 pounds of phosphoric acid, 990 pounds of nitrogen, and 210 pounds of potash. If mix A costs $25 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? COD If mix A costs $25 per cubic yard and mix B costs $35 per cubic yard, the farmer should blondyd" of mix A and yd" of mix B to meet the minimum monthly requirements at a minimum cost. The cost is $840
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