Question
Asked Nov 10, 2019
21 views

Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profits (in dollars) realized from renting out x apartments is given by

P(x) = -10x2 +1760x - 50,000

To maximize the monthly rental profit, how many units should be rented out? What is the maximum monthly profit realizable?

 

 

check_circle

Expert Answer

Step 1

For maximum profit we will have dP/dx=0 

Fro...

help_outline

Image Transcriptionclose

P(x)-10x21760x-50000 dP d -(-10x2+1760x-50000) dx dx dP =-10(2x)+1760(1) dx dP =-20x+1760 dx 0=20x+1760 20x-1760 1760 X= 20 x-88 |

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other