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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?

Respuesta :

elcharly64

Answer:

[tex]P(n)=300n-2500[/tex]

Step-by-step 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

[tex]C=2500+600n[/tex]

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

[tex]R=900n[/tex]

The profit function can be constructed by subtracting revenue and cost

[tex]P(n)=900n-(2500+600n)=300n-2500[/tex]

Answer: P=300n-2500 APEX

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