Question

The cost function of an apple stand is C = 10n + 150, where n is the number of buckets of apples sold. The revenue function of this apple stand is r= 15n.

Create a graph to show each of these functions. According to your graph,
what is the break-even point for this apple stand?
A. n = 30
B. n = 10
C. n = 25
D. n = 14

Answer 1

Check the picture below.

Answer 2

A. n = 30

Explanation:

The cost function is

`C=10n+150`

Where
`n` is the number of buckets of apples sold.

The revenue is defined as

`r=15n`

The image attached shows both functions graphed in the same coordinate system. According with the graph, the break-even point is at (30,450), that is, 30 of buckets sold and $450 of revenue and cost.

In other words, we need to sell 30 buckets to have the cost and revenue equals.

Therefore, the answer is A.