Answer:
The total revenue generated by the firm is:
[tex]P(x) = 75x^3-5x^{\frac{5}{2}}[/tex]
Step-by-step explanation:
The average cost per TV is:
[tex]r(x) =\frac{P(x)}{x}[/tex]
Where x is the number of televisions sold and P is the firm's income for all the televisions sold
In this problem we know the equation r(x).
Then P(x) will be:
[tex]P(x) = x*r(x)[/tex]
Therefore if [tex]r(x)=75x^2-5x^{3/2}[/tex] then
[tex]P(x) = x*(75x^2-5x^{3/2})[/tex]
[tex]P(x) = 75x^{2+1}-5x^{\frac{3}{2}+1}\\\\P(x) = 75x^3-5x^{\frac{5}{2}}[/tex]
