Question

Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.

What is the frosted area of the top cake? (Round to the nearest tenth)

What is the frosted area of the bottom cake? (Round to the nearest tenth)

What is the total surface area of cake that will be frosted?

Answer 1

$22.5.

Explanation:

The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,

y = (25 - x)(100 + 5x)

Simplifying,

y = 2500 + 25x - 5x²

We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.

dy/dx = 0 = 25 - 10x