Answer:
The maximum revenue Luci can make selling cookies in one day is $2,000.
The price she should sell the cookies to make the maximum revenue is $1
Step-by-step explanation:
W are given the following in the question:
x= -2000 p + 4000 ................ (1)
Therefore, revenue can be obtained as follows:
Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)
Differentiating equation (2) with respect to p and equate to 0, we have:
dR / dp = -4000p + 4000 = 0 ................. (3)
From equation (3), we solve for p as follows:
-4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into (2), we have:
Revenue = (-2000 * 1^2) + (4000 * 1)
Revenue = -2000 + 4000
Revenue = 2000
Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.
