Question

A boathouse costs $2500 a month to operate, and it spends $600 each

month for every boat that it docks. 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?

Answer 1

Answer: P=300n-2500 APEX

Answer 2

`P(n)=300n-2500`

Explanation:

The fixed cost to operate the boathouse is $2500/month. It also has a cost of $600/month for every boat it docks.

If n boats are docked, then the total monthly cost is expressed as

`C=2500+600n`

The boathouse charges $900/month for every boat docked. The revenue for n boats will be

`R=900n`

The profit function can be constructed by subtracting revenue and cost

`P(n)=900n-(2500+600n)=300n-2500`