A jeweller and her apprentice make silver pins and necklaces by hand.each week they have 80hours of labor and 36 ounces of silver available.it requires 8 hours of labor and 2 ounces of silver to make a pin ,and 10 hours of labor and 6 ounces of silver to make a necklace .each pin also contains a small gem of some kind.the demand for pins is no more than six per week .A pin earns the jeweler $400 in profit and a necklace earns $100.the jeweler wants to know how many of each item to make each week in order to maximize profit a) formulate an integer programming model for this problem b)solve this model using the branch and bound method c)demonstrate the solution partitioning graphically
A jeweller and her apprentice make silver pins and necklaces by hand.each week they have 80hours of labor and 36 ounces of silver available.it requires 8 hours of labor and 2 ounces of silver to make a pin ,and 10 hours of labor and 6 ounces of silver to make a necklace .each pin also contains a small gem of some kind.the demand for pins is no more than six per week .A pin earns the jeweler $400 in profit and a necklace earns $100.the jeweler wants to know how many of each item to make each week in order to maximize profit a) formulate an integer programming model for this problem b)solve this model using the branch and bound method c)demonstrate the solution partitioning graphically
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
Topic Video
Question
- A jeweller and her apprentice make silver pins and necklaces by hand.each week they have 80hours of labor and 36 ounces of silver available.it requires 8 hours of labor and 2 ounces of silver to make a pin ,and 10 hours of labor and 6 ounces of silver to make a necklace .each pin also contains a small gem of some kind.the demand for pins is no more than six per week .A pin earns the jeweler $400 in profit and a necklace earns $100.the jeweler wants to know how many of each item to make each week in order to maximize profit
- a) formulate an integer programming model for this problem
- b)solve this model using the branch and bound method
- c)demonstrate the solution partitioning graphically
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 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.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,