The cost function of a corn stand is C = 6n + 200, where n is the number of buckets of corn sold. The revenue function of this c

Question

3 years ago

13

The cost function of a corn stand is C = 6n + 200, where n is the number of buckets of corn sold. The revenue function of this c

orn stand is r = 14n. Create a graph to show each of these functions. According to your graph, what is the break-even point for this corn stand?
A. n = 14
B. n = 6
C. n = 25
D. n = 28

Mathematics

2 answers:

guapka [62] · Answer 1 · 2022-05-14T02:43:50+03:00

guapka [62]3 years ago

6 0

Answer:

25

Step-by-step explanation:

Nikolay [14] · Answer 2 · 2022-05-14T04:26:14+03:00

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Cost function is defined as C = 6n+200

and Revenue function is defined as R = 14n

Since we need to find the break even point.

And we know that at break even point, C(x)= R(x).

$6n+200=14n\\\\200=14n-6n\\\\200=8n\\\\n=\dfrac{200}{8}\\\\n=25$

So, At n=25, there is the break even point for this corn stand.

Hence, Option 'C' is correct.