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

Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these​

Answers

I just got finished with this question I’m pretty sure it is “ is equal to”

find the surface area of the rectangular prism.
A 90 cm2
B 135 cm2
C 225 cm2
D 270 cm2

Answers

Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

The following data show the average retirement ages for a random sample of workers in the United States and a random sample of workers in Japan. Perform a hypothesis test using α = 0.05 to determine if the average retirement age in Japan is different from the United States. Calculate the test-statistics (round to 3 decimals - report the absolute value).

Answers

Answer:

[tex]t \approx 2.639[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{} & {USA\ 1} & {Japan\ 2} & {\bar x} & {64.6} & {67.5} &{n} & {30} & {30} & {\sigma} & {4.0} & {4.5} \ \end{array}[/tex]

See attachment for data

Required

Determine the test statistic

The test statistic is calculated using:

[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}}[/tex]

So, we have:

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{4.0^2}{30} + \frac{4.5^2}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00}{30} + \frac{20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{16.00+20.25}{30}}}[/tex]

[tex]t = \frac{64.6 - 67.5}{\sqrt{\frac{36.25}{30}}}[/tex]

[tex]t = \frac{-2.9}{\sqrt{1.2083}}[/tex]

[tex]t = \frac{-2.9}{1.099}[/tex]

[tex]t \approx -2.639[/tex]

The absolute value is:

[tex]t \approx 2.639[/tex]

Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point A:

[tex]\to df = n - 1 = 71-1= 70[/tex]

In point B:

[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]

In point C:

For df = 70, the top 5% critical t score

tcrit = 1.666914479

Thus,

[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]

In point D:

For df = 70, the top 5% critical t score

tcrit = -1.666914479

[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]

In point E:

The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is

tcrit = -1.293762898

[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]

In point F:

The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is

tcrit = 1.293762898

[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]

PLS ANSWER QUICK, HELP

Answers

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317

6. What score does Marcus need in his next
game to have a mean of exactly 325?

Answers

Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]

Simplify,

[tex]\frac{2233+x}{8}=352[/tex]

Inverse operations,

[tex]2233+x=2816\\\\x = 583[/tex]

Answer:

It’s 367

Step-by-step explanation:


Solve: 2x-3 = 5(x + 6)

Answers

Answer:

2x - 3 = 5(x + 6)

2x - 3 = 5x + 30

-33 = 3x

x = -11

Answer:

x= -11

Step-by-step explanation:

1. Expand and distribute.  

2x - 3 = 5x + 30

2.  Subtract 2x from both sides.

2x - 3 = 5x + 30

-2x        -2x

---------------------

    -3 =  3x + 30

 

4 Subtract 30 from both sides.

-3 =  3x + 30

-30           -30

---------------------

-33 = 3x      

 

6. Divide both sides by 33.

-33/3 = 3x/3

-11 = x

7. Switch sides

x = -11

Simplify: 10(-5x+4)
Jejdjejehhe

Answers

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

Solve for 0 Round your answer to the nearest tenth.
20
13
A =
degrees

Answers

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

This figure was broken into a triangle and a parallelogram as shown. Use the figures to complete the statements. The height of the triangle his in. The area of the triangle is vin.? The area of the parallelogram is in. 2 ? The area of the irregular figure is in. 2. ? h 22 in. 8 in. 10 in. Nin. 8 in. 8 in.​

Answers

Answer: Use the figures to complete the statements.

The height of the triangle h is

✔ 12

in.

The area of the triangle is

✔ 48

in.2.

The area of the parallelogram is

✔ 80

in.2.

The area of the irregular figure is

✔ 128

in.2.

Step-by-step explanation: I js now got it right by the power of guessing

solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3

Answers

Answer:

y = -3

x = 1

Step-by-step explanation:

6x-4y=18

3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3

substitute for x:

6((-2y - 3)/3) - 4y = 18

2(-2y - 3) - 4y = 18

-4y - 6 - 4y = 18

-8y - 6 = 18

-8y = 24

y = -3

x = (-2(-3) -3)/3 = 1

How to do subtract 1.7 from 3 show your work

Answers

3-1.7 = 1.3 this should be what your looking for

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

1ч (х – 2) =36 times-Ч2

Answers

Answer:

x = -7

Step-by-step explanation:

14(x - 2) = 3(-42)

14x - 28 = -126

14x = -126 + 28

14x = -98

x = -7


An engineer stands 50 feet away from a building with a surveying device mounted on a tripod. if
the surveying device is 5 feet above the ground and the angle of elevation is 50°, find how tall is
the building.​

Answers

Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

brainly.com/question/22091903

#SPJ2

Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?

Answers

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

A car rental company is interested in the amount of time its vehicles are out of operation for repair work. A random sample of 21 cars showed that, over the past year, the numbers of days that each of these cars had been inoperative were as follows: 15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14 Assuming that the population is normally distributed, construct a 95% confidence interval for the mean number of days that vehicles in the company's fleet are out of operation.

Answers

Answer:

(10.891; 15.869)

Step-by-step explanation:

Given the data::

15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14

The confidence interval is obtained using the relation :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Using a calculator, the mean value of the data and standard deviation above is :

Mean = Σx / n ; n = sample size

Mean, xbar = 281 / 21

Mean = 13.38

Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]

Standard deviation, s = 5.82

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% confidence level = 1.96

Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489

Confidence interval :

Mean ± margin of error

13.38 ± 2.489

Lower boundary = (13.38 - 2.489) = 10.891

Upper boundary = (13.38 + 2.489) = 15.869

(10.891; 15.869)

Please please help please

Answers

Answer:

Greater Than [The second choice]

Step-by-step explanation:

A set of data is Normally distributed with a mean of 25 and a standard deviation of 5. What percent of values are between the z-values –0.4 and 0.6? Round to the nearest whole percent.

Use the z-table to answer the question.

9%
19%
38%
49%

Answers

Answer:

38%

Step-by-step explanation:

Answer:

38% is correct

ED2021

Pls help me complet this

Answers

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

What is the range of y=4sin(x)-2

Answers

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

Create an algebraic expression to solve the following problems.

a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?

b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB

c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?


PLEASE ANSWER PLEASE

Answers

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

192, 96, 48, 24 what are the next three terms

Answers

Answer:

12,6,3

Step-by-step explanation:

its dividing by half

Simplify 42 ⋅ 48.
Please help with this!

Answers

Answer:

Step-by-step explanation:

a^x. a^y=a^{x+y}

4²*4^8=4^{10}

Answer:

4 to the power of 10

Step-by-step explanation:

*
87-1 = 25+2 simplifies to :​

Answers

it simply to nothing

Answer:

175 /2

Step-by-step explanation:

Factor by removing a common
1. 3a +9ab

Answers

Answer:

3a(1+3b)

Step-by-step explanation:

First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.

Can someone please help me figure out the costing for the serving on this recipe.

Steps on how is on: wikihow.com/cost-a-recipe

Answers

Triangle JKL with vertices J(-5,5), K(5, 7),
and L(2, 3) in the x-axis.

13. Describe and correct the error in finding the product.
X (x – 5)² = x² – 52
= x2 - 25

Answers

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

BRAINLIEST FOR ALL 3 CORRECT ANSWERS, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

1. quarter turn 2. B 3. (b,-a)

Step-by-step explanation:

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