A company produces fragrances A, B, and C. There is virtually unlimited market demand for these. Fragrance A sells for $10 per gallon, B for $56 per gallon, and C for $100 per gallon. Producing 1 gallon of A requires 1 hour of labor; producing 1gallon of B requires 2 hours of labor plus 2 gallons of A; producing 1 gallon of C requires 3 hours of labor plus 1 gallon of B. Any A used to produce B cannot be sold (and same for B used in C). A total of 40 labor hours are available. Formulate a linear program to maximize the company’s revenue.
A company produces fragrances A, B, and C. There is virtually unlimited market demand for these. Fragrance A sells for $10 per gallon, B for $56 per gallon, and C for $100 per gallon. Producing 1 gallon of A requires 1 hour of labor; producing 1gallon of B requires 2 hours of labor plus 2 gallons of A; producing 1 gallon of C requires 3 hours of labor plus 1 gallon of B. Any A used to produce B cannot be sold (and same for B used in C). A total of 40 labor hours are available. Formulate a linear program to maximize the company’s revenue.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A company produces fragrances A, B, and C. There is virtually unlimited market demand for these. Fragrance A sells for $10 per gallon, B for $56 per gallon, and C for $100 per gallon. Producing 1 gallon of A requires 1 hour of labor; producing 1gallon of B requires 2 hours of labor plus 2 gallons of A; producing 1 gallon of C requires 3 hours of labor plus 1 gallon of B. Any A used to produce B cannot be sold (and same for B used in C). A total of 40 labor hours are available. Formulate a linear program to maximize the company’s revenue.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
