The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

Answer 1

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

The Daily Cost, In Dollars, To Produce X Gallons Of Handmade Ice Cream Is C(x)=x+11 . The Price-demand

Related Questions

The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.

Answers

Answer:

[tex]F=6.83\times 10^{-10}\ N[/tex]

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]

So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].

Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1

Answers

Answer: C) 4

Step-by-step explanation:

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

Read more about chi-square test at:

https://brainly.com/question/4543358

What number should be added to both sides of the equation to complete the square? x-^2+8x=4

Answers

Answer:

2.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?

Answers

Answer:

7 Ways

Step-by-step explanation:

Have a Nice Day!

Answer:

64 ways

Step-by-step explanation:

Basic possibility table/using math, and calculating

What is 10×25 to the sixth power

Answers

Answer:

2.4414063e+14 (wow such a large number)

Step-by-step explanation:

10x25= 250

250 to the 6th power = 2.4414063e+14

how do i solve for the inequality, p=3.4?​

Answers

Answer:

Step-by-step explanation:

This is already solved, and this would not be considered a inequality since it has only a equal sign.

solution of equation x^2-2x=-2

Answers

Answer:

[tex]x=1\pm i[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]

The above equation is a quadratic equation whose solution can be given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here,

a = 1, b = -2 and c = 2

So,

 [tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]

So,

[tex]x=1+i,1-i\\\\x=1\pm i[/tex]

So, the solution of the equation is [tex]1\pm i[/tex].

How many liters are there in 6 gallons?

Answers

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Alice has 5 quarters and 2 nickels. How many cents does Alice have

Answers

Answer:

Alice has 135 cents, or $1.35.

Step-by-step explanation:

A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!

Jamal has 15.00 to spend at the concession stand. He buys nachos for 7.50. and he wants to purchase some sour straws for 1.50 each. How many sour straws can Jamal purchase with the money that he has.




I NEED HELP PLEASE

PLEASE give me the variable please please please and the inequality please no links I will report you comment and answer


ILL GIVE BRAINLIEST​

Answers

Answer:

Inequality is 15 = 7.5 + 1.5x

x = 5, he can buy 5 sour straws

Step-by-step explanation:

For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)

Since we don't know how many straws he can buy, use a variable, I used x.

You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.

Hopefully this helps - let me know if you have any questions!

write the ratio 1 to 8 as a fraction, decimal, percent pls help meee

Answers

Answer:

frac.: 1/8

dec.: 0.125

pct.: 12.5%

The given numbers in ratio as 1:8, in fractions as 1/8 and in percentage as 12.5%.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, 1 to 8.

The given numbers in ratio

1:8

In fraction

1/8

In percentage

1/8 ×100

=12.5%

Therefore, the given numbers in ratio as 1:8.

To learn more about the fraction visit:

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I need help please help

Answers

Answer:

B (340)

Step-by-step explanation:

Your client has asked you to evaluate customers attending the games for a professional football team. The stadium is interested in increasing revenue. Based on the regression models and hypothesis tests learned in this topic and external references, discuss the specific type of data that could be collected from fans and used in a multiple regression model for NFL team revenue. Justify your selection by explaining how the data could be collected and why they are important. Be sure to state and refer to your reference.

Answers

Answer:

Number of spectators who leave the stadium before 180 minutes

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

Number of customers/spectators attending the last 100 matches

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matches

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Step-by-step explanation:

Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium

The type of data that could be collected from the fans to be used in multiple regression model:

Number of spectators who leave the stadium before 180 minutes

This data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing

Number of customers/spectators attending the last 100 matches

This data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium

How can the data be collected

The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matches

how to apply the data

we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation

we can also use regression analysis and line of best fit to check for the trends

Help Please my we dobnt know

Answers

Answer:

its B

Step-by-step explanation:

Answer:

Its the 3rd one.

Also can I have brain list

Step-by-step explanation:


Simplify: (x2+6x+8) + (-4x2+11x-9)

Answers

Answer:

-3x^2+17x-1

Step-by-step explanation:

I don’t get this question and need help. please hell

Answers

Answer

B

Explanation

Because it has the same shot and long side

Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?

Answers

Answer:

12

Step-by-step explanation:

Pls answer number 2 I’ll give brainliest thank youu!

Answers

B is the answer to this question (it’s just common sense)

Answer:

$4.40

Explanation:

8/100 = 0.08

55*0.08 = 4.4

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

Just click an x on the graph for each number in the chart.

1/4 would have 4 x's

2/4 would have 2 x's

3/4 would have 1 x

1 would have 2 x's

Select the correct answer from each drop-down menu.

Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the
third day, $8 on the fourth day, and continues this pattern the rest of the week.
If the bike costs $150, Carla will (have or not have)
enough money to buy the bike before the start of summer.
Carla will have ($15, $25 $23,$27,$5,$0)

Answers

Answer:

she will not have enough money

she will have 23 more to save

Step-by-step explanation:

got it right on plato

Answer:

If the bike costs $150, Carla will

not have

enough money to buy the bike before the start of summer.

Carla will have

$23

more to save

.

Step-by-step explanation:

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.

Answers

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

Cierra is keeping track of the amount of money in her lunch account each week. She writes the equation A= -6w + 40. What do the numbers and variables represent.

Answers

Answer:

A represents the amount of money in the account. W represents the amount of weeks. -6 represents the change in her balance every week. 40 represents the amount of lunch money she starts with.

Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.

Answers

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

To learn more about algebra click here ;

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(-6) (-7)= equals what?

Answers

Answer: 42

Step-by-step explanation:

A negative number times a negative number will have a positive product.

(-6)(-7)=42

Hope this helps

People enjoyed attending the concert in the park.
Twice as many men as women attended the concert.
If the total attendance was 714, how
many women
attended the concert?

Answers

Answer:

w = 238

Step-by-step explanation:

So create a system of equations if the number of m = 2w where the men's number is twice the women's number.  and m + w = 714 so substitute 2w for m

2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238

A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?

Answers

Answer:

$800 is the original price

Step-by-step explanation:

15% discount

if 85% = $680

100% =?

100/85 * $680

=$800

Answer:

800

Step-by-step explanation:

What is the area of the rectangle below?
9 feet
7 feet

Answers

Answer:

63 feet ^2

Step-by-step explanation:

Well assuming your presented with length and width.

9*7=63

Help ASAP!!! Please show all work!!!!!!!
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

[tex]\sqrt{x+7} -1=x\\[/tex]

Answers

Answer:

x = 2 and x = -3

Step-by-step explanation:

We need to find the value of x in the below expression.

[tex]\sqrt{x+7} -1=x[/tex]

Adding 1 to both sides,

[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]

Squaring both sides,

[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]

Hence, this is the required solution.

[tex]\bf\huge x=2 [/tex]

Step-by-step explanation:

Given that :

[tex]\sqrt{x+7} -1=x\\[/tex]

to find :

[tex]\sqrt{x+7} -1=x\\[/tex]

explanation :

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √x + 7 = x + 1

⟼ x + 7 = x² + 2x + 1

⟼ x + 7 - x² - 2x - 1 = 0

⟼ -x + 6 -x² = 0

⟼ x² + x - 6 = 0

⟼ (x-2) (x+3) = 0

⟼ x = 2 and x = -3

When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.

Therefore,

⟼ x = 2.

verification :

⟼ let take x = 2

⟼ [tex]\sqrt{x+7} -1=x\\[/tex]

⟼ √2+7 - 1 = 2

⟼ √9 - 1 = 2

⟼ 3 - 1 = 2

⟼ 2 = 2

hence verified ☑️

Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141

Answers

Answer:

1. 2=x+41

‐x=41‐2

x=‐39

2. 2=4+7×

‐7×=4‐2

7×=2

3. 2=10×+8

‐10×=8‐2

‐5×=3

5×=‐3

4.2=×+141

‐x+2=141

‐x=139

PLEASE ANSWER THIS QUESTION

(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)

Answers

the answer is 135 cubes.
Other Questions
Find the area of the shape. Each unit square = 5 meters. Juan Diego began the year with a tax basis in his partnership interest of $40,000. During the year, he was allocated $33,000 of partnership ordinary business income, $110,000 of 1231 losses, and $90,000 of short-term capital losses and received a cash distribution of $40,000. (Do not round intermediate calculations.) b. If any deductions or losses are limited, what are the carryover amounts, and what is their character? [Hint. See Reg. 1.704-1(d).] 1231 losses Short-term capital losses Required information [The following information applies to the questions displayed below.] Juan Diego began the year with a tax basis in his partnership interest of $40,000. During the year, he was allocated $33,000 of partnership ordinary business income, $110,000 of 1231 losses, and $90,000 of short-term capital losses and received a cash distribution of $40,000. (Do not round intermediate calculations.) a. What items related to these allocations does Juan Diego actually report on his tax return for the year? [Hint. See Reg. 1.704-1(d)(2) and Rev. Rul. 66-94.] Amount Deducted Currently ASAP Answer Both Questions Pls and Ty!!!1. Omar is sliding along the school corridor. Draw a picture of Omar sliding along the floor. Add a force arrow to show the force of friction acting on Omar.2. Press your hands very gently and rub them. Now press much harder and rub again. Describe what you observe. What does this tell you about the force of friction? At the beginning of the semester, we studied partially filled arrays. This is when the number of elements stored may be less than the maximum number of elements allowed. There are two different ways to keep track of partially filled arrays: 1) use a variable for the numberElements or 2) use a sentinel (terminating} value at the end of elements (remember c-strings?). In the code below, please fill in the details for reading the values into the an array that uses a sentinel value of -1. Complete the showArray function as well.#include using namespace std;void showArray(int array[]);// ToDo: Code showArray function with one array parameterint main(){const int MAX_SIZE=16;int array[MAX_SIZE]; // store positive values, using -1 to end the values. cout The outline requiring that each heading should be divided into two or more parts is an example of: what authority was given to the postmaster general under the espionage and sedition acts HURRY ITS TIMED ILL GIVE YOU BRAINLIESTWhich illustrates the relationship between cooling magma and mineral formation?A. Darwins theoryB. Theory of relativityC. Bowens reaction seriesD. Newtons principle of physics PLZ HELP :(What reason does Greta Thunberg give for her claim that a low-carbon economy isn't going to work?because our emissions have to stop, if we are to have a chance to stay below the 1.5-degree targetbecause the U.S.A. is leaving the Paris accord and that seems to outrage and worry everyonebecause planting trees is good, of course, but it's nowhere near enough of what is neededbecause it doesn't lead to anything Describe the central thesis of Julius Ceaser by William Shakespeare if the british government, through tighter monetary policy, reduced the supply of british pounds by 10 percent, then, other things equal, we expect that eventually _________ The average sum of differences of a series of numerical data from their mean is: a. Zero b. Varies based on the data series c. Variance d. other e. Standard Deviation The ................. of government securities in the open market will increase money ........ of required reserve ratio will decrease money supplies supplies and A) sale; decreases (B)) sale; increases C) purchase; decreases D) purchase; increases If a strand of DNA has the nucleotide sequence: AATGCT, what is the complementary sequence of RNA nucleotides that would be made from it? Plants are divided into three groups based on the Hand pushes on a table with a force of 35n forward.reaction force Which statements about sexual activity are supported by evidence in this article?Unintended pregnancy is a problem in the US.Most teenagers are influenced by what their parents might think before having sex.Older teens ignore the risk of STDs when deciding to have sex.The risk of pregnancy is a primary influence on a teens decision to have sex.Teachers and religious advisors are more influential on older teens than on younger ones in their decisions about sex. 4h + 14 > 38 Whats the answer Do you think it is possible to be too empathetic? Why or why not? Solve the given initial-value problem. (Enter the first three nonzero terms of the solution.) (x + 3)y" + 2y = 0, y(0) = 1, y'(0) = 0 1- . 2 3 x + 12 + ... __________ means selling goods and services to ultimate consumers over the Internet.a. Online retailingb. B2B distributionc. E-sellingd. Intercommerce