The cost per day of running a hospital is 200,000 10.5x2 dollars, where x is the number of patients servedper day. What number of patients served per dayminimizes the cost per patient per day of running thehospital if the hospital’s daily capacity is 300 patients?How does the solution change as the hospital’scapacity increases? Let capacity increase from 300 to500 in increments of 25.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 52P
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The cost per day of running a hospital is 200,000 1
0.5x2 dollars, where x is the number of patients served
per day. What number of patients served per day
minimizes the cost per patient per day of running the
hospital if the hospital’s daily capacity is 300 patients?
How does the solution change as the hospital’s
capacity increases? Let capacity increase from 300 to
500 in increments of 25.

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