Gotham City Hospital serves cases from four diagnostic-related groups (DRGS). The profit contribution, diagnostic service use (in hours), bed-day use (in days), nursing care use (in hours), and drug use (in dollars) are given in following table. The hospital now has available each week 570 hours of diagnostic services, 1,000 bed-days, 50,000 nursing hours, and $50,000 worth of drugs. To meet the community's minimum health care demands at least 10 DRG1, 15 DRG2, 40 DRG3, and 160 DRG4 cases must be handled each week. Formulate, do not solve, a linear program to determine the hospital's optimal mix of DRGS.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 76P
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Profit
Diagnostic
Services
DRG
Bed-day
Nursing Use
Drugs
1.
2.000
30
800
1,500
4
10
500
500
1
150
300
50
234
Transcribed Image Text:Profit Diagnostic Services DRG Bed-day Nursing Use Drugs 1. 2.000 30 800 1,500 4 10 500 500 1 150 300 50 234
Gotham City Hospital serves cases from four diagnostic-related
groups (DRGS). The profit contribution, diagnostic service use
(in hours), bed-day use (in days), nursing care use (in hours),
and drug use (in dollars) are given in following table. The
hospital now has available each week 570 hours of diagnostic
services, 1,000 bed-days, 50,000 nursing hours, and $50,000
worth of drugs. To meet the community's minimum health care
demands at least 10 DRG1, 15 DRG2, 40 DRG3, and 160 DRG4
cases must be handled each week. Formulate, do not solve, a
linear program to determine the hospital's optimal mix of DRGSs. I
Transcribed Image Text:Gotham City Hospital serves cases from four diagnostic-related groups (DRGS). The profit contribution, diagnostic service use (in hours), bed-day use (in days), nursing care use (in hours), and drug use (in dollars) are given in following table. The hospital now has available each week 570 hours of diagnostic services, 1,000 bed-days, 50,000 nursing hours, and $50,000 worth of drugs. To meet the community's minimum health care demands at least 10 DRG1, 15 DRG2, 40 DRG3, and 160 DRG4 cases must be handled each week. Formulate, do not solve, a linear program to determine the hospital's optimal mix of DRGSs. I
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,