Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.)
high-income patients 
homeless patients
 profit
Expert Solution
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Step 1: Introduction of the given problem

Nursing home must house a minimum of760  homeless patients and no more than 800 high-income patients

The overall capacity of the hospital is to be space 2 comma 100 spacepatients.

The number of homeless patients should not exceed twice the number of high-income patients.

The hospital will make an average profit of $ 9 comma 800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $ 7 comma 800 per month


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