SOLUTION: The price p and the quantity x sold of a certain product obey the demand equation x = 200 - 10p. Express the revenue function R as a function of the number of units sold, x.

Algebra ->  Functions -> SOLUTION: The price p and the quantity x sold of a certain product obey the demand equation x = 200 - 10p. Express the revenue function R as a function of the number of units sold, x.       Log On


   



Question 43198: The price p and the quantity x sold of a certain product obey the demand equation
x = 200 - 10p.
Express the revenue function R as a function of the number of units sold, x.
a. R = -10p2 + 200p
b. R = x2
c. R = x2 - 190x
d. R = x2 + 20
e. None of the others

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Revenue = price per unit time units sold so that
R = px
Now if x = 200 - 10p, we can solve for p and get
x - 200 = -10p
p = (-1/10)x + 20
and then by multiplying that by x, we get to R...
R = px = (-1/10)x^2 + 20x
Choice E.