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Leona [35]
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]3 years ago
6 0

Answer:

25

Step-by-step explanation:


Nikolay [14]3 years ago
3 0

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.

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one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
slava [35]

Answer:

the number is 5

Step-by-step explanation:

We have to find the equation to solve the problem.

Let the number be x

lets write one more than seven times the difference of a number and 4  in mathematical form

1. Difference of number and 4 will be written as x - 4

now

2. seven times the difference of a number and 4 will be written as

7*( x - 4)

3. one more than seven times the difference of a number and 4 is expressed as

1 + 7*( x - 4)

_____________________________________________

1 + 7*( x - 4) is equal to twice the difference of the number and 1

4. difference of the number and 1 is x - 1

5.  twice the difference of the number and 1 is 2*(x-1)

Thus,

1 + 7*( x - 4) = 2*(x-1)

=> 1 + 7x - 28 = 2x -2

=> 7x - 27 = 2x - 2

adding 27 both sides

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subtracting 2x from both sides

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dividing both side by 5

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Answer:

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