The Northfork Feed Company makes a feed mix from four ingredients (x1 = pounds of oats, x2 = pounds of corns, x3 = pounds of soybeans, and x4 = pounds of vitamin supplement). The company has 400 pounds of oats, 500 pounds of corn, 300 pounds of soybeans, and 200 pounds of vitamin supplement available for the mix. The company has the following requirements for the mix: Constraint 1: At least 20% of the mix must be oats. Constraint 2: At most 30% of the mix must be corns. Constraint 3: The ratio of soybeans to vitamin supplements cannot exceed 3 to 1. Constraint 4: The amount of corns cannot exceed the amount of vitamin supplements. Constraint 5: The mix must be at least 600 pounds. A pound of oats costs $0.40; a pound of corn, $1.50; a pound of soybeans, $0.50; and a pound of vitamin supplement, $3.00. The feed company wants to know the number of pounds of each ingredient to put in the mix in order to minimize cost.

The Northfork Feed Company makes a feed mix from four ingredients (x1 = pounds of oats, x2 = pounds of corns, x3 = pounds of soybeans, and x4 = pounds of vitamin supplement). The company has 400 pounds of oats, 500 pounds of corn, 300 pounds of soybeans, and 200 pounds of vitamin supplement available for the mix. The company has the following requirements for the mix: Constraint 1: At least 20% of the mix must be oats. Constraint 2: At most 30% of the mix must be corns. Constraint 3: The ratio of soybeans to vitamin supplements cannot exceed 3 to 1. Constraint 4: The amount of corns cannot exceed the amount of vitamin supplements. Constraint 5: The mix must be at least 600 pounds. A pound of oats costs $0.40; a pound of corn, $1.50; a pound of soybeans, $0.50; and a pound of vitamin supplement, $3.00. The feed company wants to know the number of pounds of each ingredient to put in the mix in order to minimize cost.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

See similar textbooks