Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue

The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

The price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Step-by-step explanation:

From the question, we have:

x = −2000p + 4000 (1)

Where;

x = number of cookies sold

p = price of a cookie, p, and the

Revenue function (R) can therefore be obtained as follows:

R = px ……………………….. (2)

If we substitute equation (1) into (2), we will have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Differentiating equation (3) with respect to p and set it equal to zero, we have:

−4000p + 4000 = 0

Solving for p, we have:

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into equation (3), we have:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.

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step-by-step explanation:

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