A small clinic specializes in general and orthopedic surgery. Each general surgery performed nets $200 to the clinic, and each orthopedic surgery performed nets $300. There are two constraints of interest: operating room time for each type and therapy time for each type of surgery. Operating room time is limited to 80 person-hours per week, and therapy to 120 person hours per week. Each general patient needs 2 hours of operating room time and 2 hours of therapy. Each orthopedic patient needs 4 hours of operating room time and 12 hours of therapy. How many general and orthopedic patients should the clinic schedule to maximize its net profit? What is the maximum profit with these constraints?
A small clinic specializes in general and orthopedic surgery. Each general surgery performed nets $200 to the clinic, and each orthopedic surgery performed nets $300. There are two constraints of interest: operating room time for each type and therapy time for each type of surgery. Operating room time is limited to 80 person-hours per week, and therapy to 120 person hours per week. Each general patient needs 2 hours of operating room time and 2 hours of therapy. Each orthopedic patient needs 4 hours of operating room time and 12 hours of therapy. How many general and orthopedic patients should the clinic schedule to maximize its net profit? What is the maximum profit with these constraints?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
Related questions
Question
100%
A small clinic specializes in general and orthopedic surgery. Each general surgery performed nets $200 to the clinic, and each orthopedic surgery performed nets $300. There are two constraints of interest: operating room time for each type and therapy time for each type of surgery. Operating room time is limited to 80 person-hours per week, and therapy to 120 person hours per week. Each general patient needs 2 hours of operating room time and 2 hours of therapy. Each orthopedic patient needs 4 hours of operating room time and 12 hours of therapy. How many general and orthopedic patients should the clinic schedule to maximize its net profit? What is the maximum profit with these constraints?
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 4 steps with 6 images
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,