Question

The demand for a new computer game can be modeled by p(x)=59.5−8lnx, for 0≤x≤800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R(x)=x⋅p(x).

A.Find R(x)

Answer 1

The total revenue function for the demand of a new computer game can be obtained by multiplying the price consumers will pay by the number of games sold. This can be expressed as R(x) = x * (59.5 - 8ln(x)).

Step-by-step explanation:

The total revenue can be calculated by multiplying the price consumers will pay (p(x)) by the number of games sold (x).

So, using the given demand function p(x) = 59.5 - 8ln(x), the total revenue function is R(x) = x * p(x).

To calculate R(x), you need to substitute the given demand function p(x) into the expression for R(x).

R(x) = x * (59.5 - 8ln(x)).