The Country Fields Retirement Community charges $6000/month for a single senior citizen to reside in an efficiency apartment with assisted living care. The facility has operating expenses of $600,000 per month. Staffing levels are dependent on the number of residents. Each senior who enters the community requires additional food, personal care, and support staff time. The estimated cost for each person is $4000 per person per month. (a) How many senior citizen residents does the facility need to have in order to reach the breakeven point? (b) What is the company’s annual profit or loss if they maintain an average residency level of 350 senior citizens?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
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The Country Fields Retirement Community charges $6000/month for a single senior citizen to reside in an efficiency apartment with assisted living care. The facility has operating expenses of $600,000 per month. Staffing levels are dependent on the number of residents. Each senior who enters the community requires additional food, personal care, and support staff time. The estimated cost for each person is $4000 per person per month.

(a) How many senior citizen residents does the facility need to have in order to reach the breakeven point?

(b) What is the company’s annual profit or loss if they maintain an average residency level of 350 senior citizens?

Expert Solution
Step 1

Answer:

Given,

The community charges $ 6000/month for a single senior citizen.

Let the number of senior citizens be x. So the total revenue function of the company will be:

TR=6000x

Now,

Operating expenses = $600,000 per month

Staffing cost (or variable cost) is dependent on the number of senior citizens = 4000x

The total cost function will be:

TC=600,000+4000x

(a).

At break-even, TR=TC

6000x=600,000+4000x6000x-4000x=600,0002000x=600,000x=300

To reach a break-even 300 senior citizens should be in the facility.

 

 

 

 

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