Which of the following is written as a rational function

A company that manufactures guitars has a fixed cost of $100,000. It costs $100 to produce each guitar and the selling price is

miv72 [106K]

a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars

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b. Write the revenue function:: R(x) = 300x where x is number of guitars

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c. Find the profit function.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = [ R(x) ] - [ C(x) ]

P(x) = [ 300x ] - [ 100x+100,000 ]

P(x) = 300x - 100x-100,000

P(x) = 200x - 100,000

The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.

Solve 125x - 100,000 = 0

125x = 100,000

x = 800 (# of guitars made and sold)

7 0

3 years ago

10°5 / 10*3* I need help answering this question

Snowcat [4.5K]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

Cancel the common factor of 10

to get the exact form of 5/3

Hope this helps

5 0

3 years ago

Read 2 more answers

Im confusedd, please help??

spayn [35]

Answer: three sets of value show 3 consecutive increases and they could be the intensities during fourth, fifth, and six visits:

66%, 69%, 72%;
63%, 65%, 67%, and
67%, 72%, 77%

Explanation:

1) The program recommends a constant intensity for 3 visits, which is what the table shows:

Day Intensisty

1 63%

2 equal ⇒ 63%

3 equal ⇒ 63%

2) Hence, you have to determine the valid sets that meet the recommendation for the fourth, fifth, and six visits, which are the next three.

2) For the next three visits, the program recommensd increasing intensities.

There are three options that show 3 consecutive increases; they are:

66%, 69%, 72%;
63%, 65%, 67%, and
67%, 72%, 77%

Therefore, those are the choices that apply.

4 0

4 years ago

I need an answer soon. Thanks!

Anika [276]

The answer is, x-5 equals to 0. So x equals to 5. So your answer is 5.

5 0

3 years ago

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let $\mu$ = true mean family income for Mexican migrants.

So, Null Hypothesis, $H_0$ : $\mu$ = $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $27,000 {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean family income = $30,000

s = sample standard deviation = $10,000

n = sample of Mexican family = 25

So, the test statistics = $\frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }$ ~ $t_2_4$

= 1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0

3 years ago