Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The required equations computed from the data given are :
- R(x) = 860x - 5x²
- C(x) = 120x + 6000
- P(x) = 740x - 5x² - 6000
- Break even point = 139 gallons and 9 apartment
Given the Parameters :
- Price per apartment, p = - 5x + 860
- x = number of apartments rented
- Fixed cost = 6000
- Maintainance cost per apartment = $120
The Revenue Function, R(x) :
- Price per apartment × Number of apartments rented
- (-5x + 860)x ;
- R(x) = 860x - 5x²
The Cost equation, C(x) :
- Fixed cost + Maintenance cost per apartment
- C(x) = 6000 + 120x
The Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
Learn more :https://brainly.com/question/8882508
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.