The South fork 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. The ratio of corn to oats cannot exceed 2 to 1. The amount of oats cannot exceed the amount of soybeans. The mix must be at least 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 in order to minimize cost.
The South fork 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. The ratio of corn to oats cannot exceed 2 to 1. The amount of oats cannot exceed the amount of soybeans. The mix must be at least 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 in order to minimize cost.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 63P: It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield...
Related questions
Question
The South fork 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.
- The ratio of corn to oats cannot exceed 2 to 1.
- The amount of oats cannot exceed the amount of soybeans.
- The mix must be at least 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 in order to minimize cost.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,