The freshmen class officers at Interlake High School ordered 1,200 fruit bars to sell as a fundraising project. They paid $0.30 per bar at the time the order was placed. They plan to sell the fruit bars at school games and concerts for $0.75 apiece. No returns of unsold bars are possible.
a. If the freshman class sells 100 of the fruit bars, what is their profit?
b. How many bars does the freshmen class need to sell to “break-even” (make a profit of $0)?
a. If the freshman class sells 100 fruit bars, their total revenue will be 100 * $0.75 = $<<100*0.75=75>>75.
Their cost for the bars was 100 * $0.30 = $<<100*0.30=30>>30.
Therefore, their profit is $75 - $30 = $<<75-30=45>>45.
b. To break even and make a profit of $0, the fruit bars need to be sold for a total revenue that covers the cost of the bars, which is $30.
Let's call the number of bars they need to sell to break even "x".
The revenue from selling x bars will be x * $0.75.
So, we can set up the equation:
x * $0.75 = $30
Dividing both sides by $0.75 gives x = $30 / $0.75 = 40.
Therefore, the class needs to sell 40 bars to break even.