If, in a monopoly market, the demand for a product is
p = 140 − 0.50x
and the revenue function is
r = px,
where x is the number of units sold, what price will maximize revenue?

Explanation:

If, in a monopoly market, the demand for a product is

p = 140 − 0.50x

and the revenue function is

R = px,

where x is the number of units sold, what price will maximize revenue?

The revenue function R=x(140-0.50x)

                                         =140x-0.50x ^ 2

In a monopoly revenue is maximized when marginal revenue is zero.  

DR/dx=0= 140x-0.50x ^ 2

 x=140

When x=140 the demand =140-(140*0.5) is 70.

The revenue will be 140*70= $9,800.

answer; measurable outcome;