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lora16 [44]
3 years ago
15

The point at which a company's costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units o

f a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which c=r.
c=16x+32000 and r=18x
How many units must be produced and sold in order to break​ even?
Mathematics
1 answer:
kondaur [170]3 years ago
8 0
Okay, so we know it is going to be more than 32000, right?

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. ​(a) Describe the
Ivanshal [37]

Answer:

a) \bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

b) z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

c) z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

d) z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

\mu = 83, \sigma = 27

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})

With:

\mu_{\bar X}= 83

\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3

Part b

We want this probability:

P(\bar X>89)

We can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 89 we got:

z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2

P(Z>2) = 1-P(Z

Part c

P(\bar X

We can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 75.65 we got:

z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45

P(Z

Part d

We want this probability:

P(79.4 < \bar X < 89.3)

We find the z scores:

z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1

z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2

P(-1.2

8 0
3 years ago
Plssplsplsplspls answer fast bc its a map and I can't wait for way too long
AURORKA [14]

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate (x,y), the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

7 0
3 years ago
Read 2 more answers
Each row in the table shows how a picture was enlarged or reduced
Fed [463]

Answer:

1. Tall Dog

2. Small Dog

3. Regular Dog

4. Fat Dog

Step-by-step explanation:

It's simple. Look at the problem ;)

8 0
3 years ago
Can someone please help me with the second question….will give brainliest :(
Andrej [43]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
2. TANIA HAS A JOB OFFER. SHE IS OFFERED EITHER $50 PER DAY OR $30 PER DAY PLUS A COMMISSION
DerKrebs [107]
50=30+3x
(Subtract 30 from both sides)
20=3x
(Divide each side by 3)
6.67=x

She would need to sell 7 plants per day if she wanted to make at least $50 a day if she took the second deal
8 0
3 years ago
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