A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?

Answers

Answer 1

Answer:

P=$-303,424

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

a. we know that total cost C=fixed cost plus variable cost

C=14000+0.000001x^3 - 0.01x^2 + 50x

[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]

profit is given as revenue minus the total cost

P=R(x)-C   (x=2600)

[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]


Related Questions

heyo bros i need you're help here.........​

Answers

Answer:

prime number number that are divisible by itself n 1

=10

Your answer is: 10

Very easy to solve, hope this helps!:)

1. Write each phrase as a mathematical expression.

Mathematical

Expression

Phrase

1

nine increased by a number

fourteen decreased by a number

seven less than a number

the product of nine and a number

thirty-two divided by a number

five more than twice a number

the product of a number and six

seven divided by twice a number

three times a number decreased by eleven

withdrawing $10 every week from an outstanding

balance of $400

Answers

Answer and explanation:

x here represents the unknown number or value

9+x here nine is increased by x the unknown number

14-x fourteen is decreased by x the unknown number or value

x-7 the unknown number is decreased by seven

9*x nine is multiplied by an unknown number

32/x thirty two is divided by an unknown number

2x+5 double an unknown number increased by 5

x*6 unknown number multiplied by 6

7/2x seven divided by double an unknown number

3x-11 thrice an unknown number reduced by 11

400-10x weekly withdrawals of 10 from 400

1. 254+79=

2. 200+50+4+70+9=

Answers

the answer for both is 333 &’ 333
254+79= 333

200+ 50+ 4+70+70=333

pls help ill mark brainliest and 25 points

Answers

Answer:

The trees.

Step-by-step explanation:

IXL huh? just get it wrong, it doesn't matter. Also read the question more carefully. He's using white for the bushes, so it is going to be lighter

Can you guys help me with this it’s due in 5 min I need a correct answer.

Answers

Answer:

The answer is R=2

Step-by-step explanation:

30=2 times 15

A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT

Answers

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

What is the equation of the line parallel to line l that passes through point (3,3)

Answers

Answer:

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)

sub (3, 3):

3 = __(3) + c

c = __

therefore, the equation of the line is y = __x + __

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

what is 7.3 = y + 2.8​

Answers

Answer:

4.5

Step-by-step explanation:

7.3= y + 2.8

Subtract 2.8 from both sides

7.3 = y+ 2.8

-2.8     -2.8

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

y = 4.5

It’s 4.5 because a certain app said so

Question 26
y = 1/8x
What is y when x is 37?
ROUND YOUR ANSWER TO THE NEAREST HUNDRETH.

Answers

Answer:

y ≈ 4.63

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = 1/8x

x = 37

Step 2: Evaluate

Substitute:                    y = 1/8(37)Multiply:                        y = 37/8Divide:                           y = 4.625Round:                          y ≈ 4.63

And we have our final answer!

A

Lleva a cabo las actividades que se presentan a continua-

ción.

1. Con base en la expresión y = 6x + 12, completa la siguiente

tabla y traza su gráfica.

х

-1

2

4

6

8

60

y

6

12

36

Answers

Answer:

https://classcalc.com/graphing-calculator/share/fJcbqPoXEobek5Lm6/untitled-calc

Step-by-step explanation:

x y=6x+12

-1 6

0 12

2 24

4 36

6 48

8 60

HELP ME FAST PLZ HELP ME!!!

Answers

Answer:

267000 is the answer

Step-by-step explanation:

What is the y-intercept in the graph below?

Answers

Answer:

c

Step-by-step explanation:

the y-intercept is 1

4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.

Answers

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Lucy's dog lost 6 pounds. How much weight does her dog need to gain in order to have a net change of 0 pounds? ​

Answers

Answer:

Lucy's dog needs to gain 6 pounds.

Step-by-step explanation:

Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.

The Dog need to gain 6 pounds for net change of zero pounds.

We have Lucy's whose dog lost 6 pounds.

We have to find out how much weight does her dog need to gain in order to have a net change of 0 pounds.

If you have 'x' toffees and you lost 'y' toffees, then how many toffees you have to buy to recover the lost toffees?

Number of toffees left after loosing 'y' toffees = x - y

The number of toffees to buy = x - (x - y) = x - x + y = y

A/Q -

Let the Dog's initial weight be -  W

After loosing 6 pounds, the weight will be -   W - 6

For a net change of zero pounds, he needs to add = W - (W - 6) = W - W + 6 = 6 Pounds.

Hence, he need to gain 6 pounds for net change of zero pounds.

To solve more questions on estimating net change , visit the link below -

https://brainly.com/question/19955066

#SPJ2

My teacher needs an estimate, may someone help me?​

Answers

Answer; 8.75
Explanation;
Hope this helps

A store buys 11 sweaters for $154 and sells them for $363. How much profit does the store make per sweater?

Answers

Answer:

they make $19 dollars in profit per sweater

Step-by-step explanation

154/11 is 14. This means that they paid $14 dollars per sweater.

363/11 is 33, meaning that they sold each sweater for $33.

$33 - $14 is $19, thus they made $19 dollars per sweater.

(I could be wrong, though. I tend to make dumb and simple mistakes of simple math, lol)

Answer:

19

Step-by-step explanation:

First Find the difference of the two amounts.

Profit = Sale - Cost

Profit = 363 - 154

Gross Profit = 209

Each sweater sold brings in a profit of 209 / 11  = 19 dollars

FACTORIZE
A(X)=(3x-2)^2-(2x-3)^2​

Answers

Answer:

5(x - 1)(x + 1)

Step-by-step explanation:

A(x) = (3x - 2)² - (2x - 3)² = (3x - 2 + 2x - 3)[3x - 2 - (2x - 3)] = 5(x - 1)(x + 1)

Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.

Find four consecutive integers whose sum is 114.

The integers are ______

Answers

Answer:

27, 28, 29 and 30

Step-by-step explanation:

Let the integers be:

n, n + 1, n + 2 and n + 3

Their sum is 114:

n + n + 1 + n + 2 + n + 3 = 114

Solving for n:

4n + 6 = 1144n = 108n = 108/4n = 27

The numbers are: 27, 28, 29 and 30

Ivanna needs to make a total of 60 deliveries this week. So far she has completed 18 of them. What percentage of her total deliveries has Ivanna completed?

Answers

Answer:

30%

Step-by-step explanation:

part/whole 18/60 = 0.3

0.3 * 100 = 30%

Grayson has 4 small photo albums and 6 large photo albums. Each small album can hold up
to 112 photographs. Each large album can hold up to 184 photographs. How many photos can
Grayson keep in the albums? Enter your answer in the box.

Answers

Answer:

1552 Photos

Step-by-step explanation:

I relabeled the albums as SP (Small album) and LA (Large album)

1 la holds 184

1 sp holds 112

112 • 4 = 448

184 • 6 = 1,104

448 + 1,104 = 1552

Please help work late! System applications please show me your work!
4. The perimeter of a rectangle is 56 centimeters. The length of the rectangle is 2 centimeters more than
the width. Find the dimensions of the rectangle. (Hint: P = 21 + 2w)
I

Answers

Answer:

The rectangle has a length of 15 cm and a width of 13 cm

Step-by-step explanation:

Let w represent the width of the rectangle, and let w + 2 represent the length of the rectangle.

Use the perimeter formula, P = 2l + 2w, and plug in the perimeter and w + 2:

P = 2l + 2w

56 = 2(w + 2) + 2w

Simplify and solve for w:

56 = 2w + 4 + 2w

56 = 4w + 4

52 = 4w

13 = w

Then, add 2 to this to find the length:

13 + 2

= 15

So, the rectangle has a length of 15 cm and a width of 13 cm.

999+6666+8888+66654+66=

Answers

Answer:

83273

Step-by-step explanation:

How do I Find x, y and z

Answers

Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.

Step-by-step explanation: X  =  2

Y  =  -1

Z  =  1

Solve the following absolute value equation in the work space. Be sure to circle
your answer(s).
|3t +3|=18

Answers

Answer: so the answer t= 5, -7

3t + 3 = 18

( we subtract 3 from both sides)

3t + 3 = 18

    - 3     -3

3t    =   15

( then we divide both sides by 3 )

3t/3  =   15/3

t = 5

(and this is the negative part, we do most of the same steps as teh last one)

3t + 3 = -18

    -  3      -3

3t   =  -21

3t/ 3  = -21/ 3

t = -7

hope this helps!!!

Is it b? Am I right? Helppppp question 15

Answers

Answer:

A is correct.

Step-by-step explanation:

Since the 39 is the initial value and isn't a coefficient. 15 is a coefficient and represents the slope.

In the parallelogram below, z = ?°

Answers

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

In this figure, DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2. Find the degrees in angle CBA.

Answers

Answer:

Angle CBA = 50 degrees

Step-by-step explanation:

Known Information:

DC is parallel to ABAngles DCA and CAB are equal (they are alternate interior angles)Angles CAB + ACB + CBA = 180°

Calculations:

[tex]3x + 14 = 5x - 2[/tex][tex]16 = 2x[/tex] [tex]x = 8[/tex]

[tex]180 - CAB - ACB = CBA[/tex][tex]180 - [ 5(8) - 2] - [ 10(8) + 12] = CBA[/tex][tex]100- [38] - [92] = CAB[/tex][tex]CBA = 50[/tex]

The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.

The equation can be framed:

3x + 14 = 5x - 2

x = 8

Angle CBA = 180 - (Angle CAB - Angle ACB)

Angle CBA = 180 - [5(8)-2+10(8)+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 50

Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Рабочий изготовил за 1 час 17 деталей . А его ученик 12 деталей . Сколько деталей они изготовят за 7 часов совместной работы

Answers

Answer:

203

Step-by-step explanation:

17*7=119

12*7=84

84+119=203


You roll a standard dice two times. What is the probability of getting a 6
on the first roll, then an even number on the second roll?

Answers

Answer:

4 out of 12 chance.

Step-by-step explanation:

So its a 1 out of 6 chance for the first die, and a 3 out of 6 chance on the second die, so a 4 out of 12 chance of what was said to happen.

First die:

You want to roll a 6. There is one number on each side of the die, and there are 6 sides. Since you can only get a side with 6 once, you have a 1 out of 6 chance of landing a 6.

Second die:

You want to roll an even number. There are 3 even numbers on the die (2, 4, and 6), and there are 6 sides, with the other 3 sides being odd (1, 3, and 5). Since you can only get a side that is even three times, you have a 3 out of 6 chance of landing an even number (2, 4, or 6).

Combine these probabilities together, and you result in a 4 out of 12 chance of getting the requirements. The 4 comes from adding the chance of getting a 1 and 3 even numbers, and the 12 comes from adding the 2 6's (since two dices would result in 12 sides).

#teamtrees #WAP (Water And Plant)

If a 30-year-old male exercises 2 hours per week, what would you
expect his resting heart rate to be?

Answers

Answer:

(71) I believe

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

Approximately 72 bpm.

Step-by-step explanation:

In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).

I hope this helps :)

Other Questions
4y4+(3)is anyone on that can help with this question I'm an idiot and can figure it out please help Read the following excerpt from Little Women."Really, girls, you are both to be blamed," said Meg, beginning to lecture in her elder-sisterly fashion. "You are old enough to leave off boyish tricks, and to behave better, Josephine. It didn't matter so much when you were a little girl, but now you are so tall, and turn up your hair, you should remember that you are a young lady.""I'm not! And if turning up my hair makes me one, I'll wear it in two tails till I'm twenty," cried Jo, pulling off her net, and shaking down a chestnut mane. "I hate to think I've got to grow up, and be Miss March, and wear long gowns, and look as prim as a China Aster! It's bad enough to be a girl, anyway, when I like boy's games and work and manners! I can't get over my disappointment in not being a boy. And it's worse than ever now, for I'm dying to go and fight with Papa. And I can only stay home and knit, like a poky old woman!"Tabitha is taking part in a group discussion about Little Women. In her discussion group, one participant states, I think it must have been very difficult to be a female during this time period.How could Tabitha best respond to show that she is being an active listener?Im sorry, I didnt hear what you said. Could you repeat it, please?I do not understand that comment at all or why it was even made.I agree and think that women often had to fight to be themselves.I think Jo sounds a lot like my little sister when she complains. Write essay (hook, intro, thesis, middle arguments and conclusion) of a Definition of a Hero. (A ESSAY and i need a essay of a definition of a hero basically a essay explaining a hero) please and thanks. A _______ is a word or phrase that limits or changes the meaning of another word or phrase.A. statement B. negationC. superlative D. qualifier Which equation has the same solution as 4-2(x-5)=x-19 A. 2(x+5)=-8 B. 3(x-3)=9 C. x+2=2x-3 D. 3x-4=2x+7 3/5 + 1/2 in simplest form These two girls had a mysterious illness at the start of the play.Susanna and MercyB Mary and BettyC Ruth and AbigailD) Betty and Ruth 2. Should public laws or policies be based on outcomes, or intent? modeling DNA Mutations Tablebase sequence of mutated strand who was a Roman general who conquered Saul, declaredhimself dictator, and passed many reforms or laws in order to help out the poor. *Your answer Which term refers to a broad strategy that includes some of the other strategies?1. visualizeing 2. Monitorial your understanding3. summarizeing 4. using inferences letter to your brother about choosing a good friend I WILL MARK BRAINIEST please answer question 4 It shows the one I got wrong so please dont choose that one Explain 4 disadvantages of state owned entreprises Collecting wild specimen and allowing them to reproduce in an environment away from predation can also be called aYour answer: Can someone answer this thanks What is 15 % converted into numbers, or 120$ increased by 15% Extreme nationalism, pre-existing prejudices, and the use of propaganda helped which person rise to power after WWI?O A. Vladimir LeninOB. Adolf HitleraC. Winston ChurchillD Czar Nicholas II 4. When the actual price of a good is above its equilibrium market price, competitionamongA. buyers will force the actual price upward.B. sellers will force the actual price upward.C. sellers will force the actual price downward.D. buyers will force the actual price downward.E none of the above. How far did the football player run if it took them 30 s running at 25m/s?