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

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

Explanation:

Answer 2

The total revenue generated by the firm is:

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

Explanation:

The average cost per TV is:

`r(x) =(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^{(3)/(2)+1}\\\\P(x) = 75x^3-5x^{(5)/(2)}`