Question

The average revenue of a TV manufacturing unit is given by r(x)=75x^2-5x^3/2 where x is the number of TVs sold by the firm. Find the total revenue generated by the firm.

Answer 1

Answer:

Px =75x^3-5x^5/2

Step-by-step explanation:

Answer 2

Answer:

The total revenue generated by the firm is:

$P(x) = 75x^3-5x^{\frac{5}{2}}$

Step-by-step explanation:

The average cost per TV is:

$r(x) =\frac{P(x)}{x}$

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:

$P(x) = x*r(x)$

Therefore if $r(x)=75x^2-5x^{3/2}$ then

$P(x) = x*(75x^2-5x^{3/2})$

$P(x) = 75x^{2+1}-5x^{\frac{3}{2}+1}\\\\P(x) = 75x^3-5x^{\frac{5}{2}}$