The profit polynomial that describes the total profit generated by the apartment complex based on the number of apartments rented is [tex]P(x)=- 28x^2 + 60x+ 27900[/tex].
The profit earned if 40 units are rented is 0.
In Mathematics and Financial accounting, profit is a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.
Mathematically, the amount of profit made from selling x bracelets can be calculated by using the following function:
Profit made = Revenue earned – Cost of production
P(x) = R(x) - C(x)
By substituting the given parameters, we have the following;
[tex]P(x)=- 28x^2 + 360x+ 29000-(300x+ 1100)\\\\P(x)=- 28x^2 + 360x+ 29000-300x- 1100\\\\P(x)=- 28x^2 + 60x+ 27900[/tex]
When x is 40 units, the profit is as follows;
[tex]P(x)=- 28x^2 + 60x+ 27900\\\\P(40)=- 28(40)^2 + 60(40)+ 27900[/tex]
P(40) = -14500
Therefore, the profit is 0 because it cannot assume a negative value and as such, represents a loss.
