Answered: Express constraint of at least 30% of…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 5EQ: 5. A coffee merchant sells three blends of coffee. A bag of the house blend contains 300 grams of...

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The Southfork Feed Company makes a feed mix from four ingredients--oats, corn, soybeans, and a vitamin supplement. The company has 300 pounds of oats, 400 pounds of corn, 200 pounds of soybeans, and 100 pounds of vitamin supplement available for the mix. The company has the following requirements for the mix:• At least 30% of the mix must be soybeans. • At least 20% of the mix must be the vitamin supplement. e The ratio of corn to oats cannot exceed 2 to 1. •The amount of oats cannot exceed theamount of soybeans. • The mix must be atleast 500 pounds.A pound of oats costs $0.50, a pound of corn, $1.20, a pound of soybeans, $0.60, and a pound of vitamin supplement, $2.00. The feed company wants to know the number of pounds of each ingredient to put in the mix to minimize cost. a. Express constraint of at least 30% of the mix must be soybeans b. Express constraint of at least 20% of the mix must be the vitamin supplement c. Express Constraint of the ratio of corns to oats cannot exceed 2 to 1 d. Express Constraint of the amount of oats cannot exceed the amount of soybeans

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