R ( x ) = 500 x ? x 2 dollars where x denotes the number of units sold. (a) What
ID: 3374398 • Letter: R
Question
R(x) = 500x ? x2 dollars where x denotes the number of units sold. (a) What is the function that gives marginal revenue?R'(x) =
(b) What is the marginal revenue if 50 units are sold?
R'(50) =
What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing.
(c) What is the marginal revenue if 350 units are sold?
R'(350) =
What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing.
(d) What is the marginal revenue if 250 units are sold?
R'(250) =
(e) As the number of units sold passes through 250, what happens to revenue? The revenue changes from increasing to decreasing.The revenue changes from decreasing to increasing. R(x) = 500x ? x2 dollars R(x) = 500x ? x2 dollars (a) What is the function that gives marginal revenue?
R'(x) =
(b) What is the marginal revenue if 50 units are sold?
R'(50) =
What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing.
(c) What is the marginal revenue if 350 units are sold?
R'(350) =
What does it mean? R(x) is decreasing.R(x) is constant. R(x) is increasing.
(d) What is the marginal revenue if 250 units are sold?
R'(250) =
(e) As the number of units sold passes through 250, what happens to revenue? The revenue changes from increasing to decreasing.The revenue changes from decreasing to increasing. R'(x) = R'(50) = R(x) is decreasing.R(x) is constant. R(x) is increasing. R'(350) = R(x) is decreasing.R(x) is constant. R(x) is increasing. R'(250) = The revenue changes from increasing to decreasing.The revenue changes from decreasing to increasing.
Explanation / Answer
a)
R'(x) = 500 - 2x
b)
R'(50) = 500-100 = 400 > 0 -> R(x) is increasing
c)
R'(350) = 500-700 = -200 < 0 -> R(x) is decreasing
d)
R'(250) = 0
e)
250 is maximum point -> passes from 250 -> R(x) decreases
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