Question

a Boathouse costs $2,800 a month to operate and it spends $750 each month for every boat that it docs. The Boathouse charges a monthly fee of $900 to dock a boat. if n is the number of boats, which equation represents the profit function of The Boathouse?A. p=900n-2800B. p= 150n - 2800C. p=750n-2800D. p= 2800n+150

Answer 1

Given that the cost of operating the boathouse is $2800, and $750 is spent each month for every boat.

Provided that there are n boats, we have

`profit=revenue-cost`

where

`\begin{gathered} profit=p \\ revenue=(900-750)n \\ cost=2800 \end{gathered}`

By substituting these values into the profit formula, we have

`\begin{gathered} p=(900-750)n-2800 \\ =150n-2800 \\ \therefore \\ p=150n-2800 \end{gathered}`

Hence, the profit function i