   # The cost per day of running a hospital is 300,000 + 0.75 x 2 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 200 patients? How does the solution change as the hospital’s capacity increases? Let capacity increase from 200 to 500 in increments of 25. ### Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659

#### Solutions

Chapter
Section ### Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659
Chapter 7, Problem 52P
Textbook Problem
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## The cost per day of running a hospital is 300,000 + 0.75x2 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 200 patients? How does the solution change as the hospital’s capacity increases? Let capacity increase from 200 to 500 in increments of 25.

Summary Introduction

To determine: The number of patients served every day that minimizes the cost per patient each day for the hospital also identify how the solution changes when the capacity increases.

Non-linear programming (NLP):

Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.

### Explanation of Solution

Model:

Formula:

Solver input:

The cost per patient per day is \$1,650...

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