Answer:
The maximum revenue Luci can make selling cookies in one day is $4,004,000.
Step-by-step explanation:
Given;
x = −2000 p + 4000 ..................... (1)
Revenue = xp
Revenue = (−2000 p + 4000)p =
Revenue = −2000p^2 + 4000p .................... (2)
The price at which Luci will the maximum profit can be calculated by finding the derivative of equation (2), equating to 0, and then solve for p as follows:
−4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
This implies that the price at which Luci will the maximum profit is $1.
Substituting p = 1 into equation (2) to obtain the maximum revenue Luci can make selling cookies in one day, we have:
Revenue = (−2000 * 1)^2 + (4000 * 1)
Revenue = −2000^2 + 4000
Revenue = 4,000,000 + 4000
Revenue = 4,004,000
Therefore, the maximum revenue Luci can make selling cookies in one day is $4,004,000.
