Petfoods makes dog food using a blend of three ingredients: K9, K8 and K1. The company has a regular blend, an extra blend and a puppy delite. The regular blend consists of one third of each ingredient; the extra blend is 50% K9 and 25% each of K8 and K1. The puppy delite is 10% K8 and the rest K1. The dog food is produced in 1-pound cans. There are 1500 pounds of K9, and 1000 pounds of each of the other ingredients available. The regular blend yields a profit of $0.20 per can, the extra blend a profit of $0.18 a can and the puppy delite a profit of $0.25 per can. Formulate an LP that can be used to maximize profit.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 68SE: The top three oil producers in the United States in a certain year are the Gulf of Mexico, Texas,...
icon
Related questions
Question

Petfoods makes dog food using a blend of three ingredients: K9, K8 and K1. The company has a regular blend, an extra blend and a puppy delite. The regular blend consists of one third of each ingredient; the extra blend is 50% K9 and 25% each of K8 and K1. The puppy delite is 10% K8 and the rest K1. The dog food is produced in 1-pound cans. There are 1500 pounds of K9, and 1000 pounds of each of the other ingredients available. The regular blend yields a profit of $0.20 per can, the extra blend a profit of $0.18 a can and the puppy delite a profit of $0.25 per can. Formulate an LP that can be used to maximize profit.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning