SOLUTION: The revenue from selling x units of a product is given by
y = -0.0002x2 + 20x. How many units must be sold in
order to have the greatest revenue? (Find the x-coordinate
Algebra.Com
Question 389609: The revenue from selling x units of a product is given by
y = -0.0002x2 + 20x. How many units must be sold in
order to have the greatest revenue? (Find the x-coordinate
of the vertex of the parabola.)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
assuming I read the given equation correctly as y = -0.0002x^2 +20x
note that it is a parabola which turns downward because the coefficient of the x^2 term is negative and therefore has a maximum at the vertex
the x coordinate of the vertex = -b/2a
from the given revenue equation,
a = -.0002, b=20
x =-b/2a = -20/(-.0002)*2=20/4*10^-4 =5*10^4
x = 50,000
ans; 50,000 units must be sold in order to have the greatest revenue
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