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?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section6.5: Systems Of Inequalities

Problem 9ECP

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