A chicken farmer can buy a special food mix A at 20c per Kg and special food mix B at 40c per Kg. Each Kg of mix A contains 3000 units of nutrient N1 and 1000 units of nutrient N2; each Kg of mix B contains 4000 units of nutrient N1 and 4000 units of nutrient N2. If the minimum daily requirements for the chickens collectively are 36000 units of nutrient N1 and 20000 units of nutrient N2, how many pounds of each food mix should be used each day to minimize daily food costs while meeting (or exceeding) the minimum daily nutrient requirements? What is the minimum daily cost?
A chicken farmer can buy a special food mix A at 20c per Kg and special food mix B at 40c per Kg. Each Kg of mix A contains 3000 units of nutrient N1 and 1000 units of nutrient N2; each Kg of mix B contains 4000 units of nutrient N1 and 4000 units of nutrient N2. If the minimum daily requirements for the chickens collectively are 36000 units of nutrient N1 and 20000 units of nutrient N2, how many pounds of each food mix should be used each day to minimize daily food costs while meeting (or exceeding) the minimum daily nutrient requirements? What is the minimum daily 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 chicken farmer can buy a special food mix A at 20c per Kg and special food mix B at 40c per
Kg. Each Kg of mix A contains 3000 units of nutrient N1 and 1000 units of nutrient N2; each
Kg of mix B contains 4000 units of nutrient N1 and 4000 units of nutrient N2. If the minimum
daily requirements for the chickens collectively are 36000 units of nutrient N1 and 20000 units
of nutrient N2, how many pounds of each food mix should be used each day to minimize daily
food costs while meeting (or exceeding) the minimum daily nutrient requirements? What is the
minimum daily cost?
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