Question

A candy shop charges $0.50 a piece, knowing it costs 22 cents to make. The ship also has other costs to the business that total $4,200 a month. Select the equation that would represent how many pieces of candy (C) the shop would make if the candy shop were to break even in operational costs for a month.

a. $0.22C - $4,200 = $0
b. $0.28C + $4,200 = $0
c. $0.28C - $4,200 = $0
d. $0.50C - $4,200 = $0

Answer 1

The equation that represents how many candy pieces the shop would need to make to break even in operational costs is $0.50C - $4,200 = $0.

Step-by-step explanation:

To find the equation that represents the number of candy pieces the shop would need to make in order to break even in operational costs, we need to consider the costs and revenue involved. The cost to make each candy piece is $0.22 and the other costs to the business total $4,200 a month. The candy shop sells each piece for $0.50.

Let's represent the number of candy pieces as C. The total cost to make the candies will be $0.22 multiplied by C. The total revenue from selling the candies will be $0.50 multiplied by C. The other costs to the business are $4,200. In order to break even, the total revenue should be equal to the total costs:

$0.50C = $0.22C + $4,200

Therefore, the correct equation that represents how many pieces of candy the shop would need to make in order to break even in operational costs for a month is:

d. $0.50C - $4,200 = $0