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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 corn 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

Respuesta :

Answer:

25

Step-by-step explanation:

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).

[tex]6n+200=14n\\\\200=14n-6n\\\\200=8n\\\\n=\dfrac{200}{8}\\\\n=25[/tex]

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

Hence, Option 'C' is correct.

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