Respuesta :
Total Cost in a day is [tex]TC= 90 + 12n[/tex]. Profit function is [tex]P=18n[/tex]. And the revenue function is [tex]R = P-TC = 18n-12n-90 = 6n-90[/tex]. In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.
Answer:
[tex]R=6n-90[/tex]
Step-by-step explanation:
Let
R------> the revenue function
n------> the number of books sold per day
we know that
In this problem
[tex]18n[/tex] -----> represent the profit
[tex](12n+90)[/tex] -----> represent the cost
so
The revenue is equal to the profit minus the cost
[tex]R=18n-(12n+90)[/tex]
[tex]R=n(18-12)-90[/tex] ------> equation that represent the revenue function
Simplify
[tex]R=6n-90[/tex]