Regression Project: Find the Profit Model

Annual Widget Production x (widgets) Annual Total Cost c($)
10 609
20 1105
30 1523
40 2150
50 2603
60 3121
70 3672
80 4103
90 4601
100 5214
Recall that profit can be computed in terms of revenue and cost. Assume that the annual widget sales match the annual widget demand and annual widget production. Construct a model for profit using the models for revenue and cost that you found in the Revenue and Cost sections. Find the model for profit P ( x ), where P ( x ) is the total annual profit in dollars for x widgets sold, and write it as P ( x ) = a x 2 + b x + c. Note: You are using the fact that P ( x ) = R ( x ) − C ( x ), not creating a table of data.

value of a. -0.956
value of b. 106.2
value of c. ???????????????????? It is not 0, 73.4, 124.2, 104.87, 157, 50.8 I've tried all of these

Answers

Answer 1

Answer:

value of c is -73.4

Step-by-step explanation:

When you subtract revenue from cost the Profit model becomes

P(x)= -0.956x^2 + 106.2x - 73.4


Related Questions

9 × [(21 − 4) − 9 what is the answer when you find out pls let me know!!!

Answers

Answer:

72 is the answer

21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.

How far will 25 N of force stretch a spring with a spring with a spring constant of 125 N/m?​

Answers

Answer:

-0.656168ft

Step-by-step explanation:

If Spring force constant (k)  is 125  N/m

And the force is (F) 25 N ,

then the spring displacement (Δx) -0.656168

Equation used:

Knowing Hooke's law, we can write it down it the form of a formula:

F = -kΔx

F is the spring force (in N);

k is the spring constant (in N/m); and

Δx is the displacement (positive for elongation and negative for compression, in m).

-6+(-2)+14
i want the explanation

Answers

Answer:

6

Step-by-step explanation:

-6+-2 is -8. if you add 14 its 6

is f(x)=7-2x a polynomial function

Answers

Answer:

Yes

Step-by-step explanation:

'

Yes, this F(x) is a polynomial function involving the first and null integer powers of x:  x^0 and x^1.

Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)

Answers

Answer:

y-8=1(x-4)

Step-by-step explanation:

I used the equations y-y/x-x and y-__y__=__m__(x-__x__)

y=-8=1(x-4) hope that helped!

What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3

Answers

Answer:b

Step-by-step explanation:

Divide 18 by j. Then, add 7.

Which of the following expressions matches the statement above?
A.
j ÷ 18 + 7

B.
18 ÷ 7 + j

C.
18 ÷ (j + 7)

D.
18 ÷ j + 7

Answers

D it’s literally in that order
D I literally tells you the answer

2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

At Chester’s Bakery, a box of 12 donuts sells for $8.50. What is the unit price of the donuts in the box, rounded to the nearest cent?
$0.12 per donut
$0.71 per donut
$1.02 per donut
$1.41 per donut​

Answers

$.71 per donut because you divide $8.50 by 12 and it determines the price of one :)

Answer: $0.71

Step-by-step explanation:

If m ACD=100 degree,then m ECB=[?]

Answers

Answer:

100

Step-by-step explanation:

They are the same.

Hope I helped!

Answer:

100°

Step-by-step explanation:

ACD=ECB=100°

[Vertical opposite angles are equal]

six cats catch six mice in six minutes. how many cats are needed to catch 60 mice in 60 minutes​

Answers

Answer:

10 cats

Step-by-step explanation:

If there are 10 cats, they all will catch 6 mice each, which means 60 mice in total. If they catch 6 mice in 6 seconds, that means they will catch 60 mice in 60 seconds. You need 10 cats to get this task done


Raina, Alan, and Kareem have a total of $85 in their wallets. Kareem has $9 less than Raina. Alan has 2 times what Kareem has. How
much do they have in their wallets?
Amount in Raina's wallet
$
Amount in Alan's wallet:
$
Amount in Kareem's wallet:
$

Answers

Answer:

17,  51,  24.

Step-by-step explanation:

i cant type it rn but i will put it in comments later :D hope this helped!

In​ 2010, the population of some countries was 1,200,000 people. From 2010 to​ 2050, the population is expected to increase by ​50%. Find the expected population of the country in 2050.

The population of the country in 2050 is expected to be ______people. ​(Simplify your​ answer.)

Answers

Answer:

7,200,000

Step-by-step explanation:

I need someone to give me the stupidest answer ever and Ill give all my points and brainliest ​

Answers

Answer:

otay wait why am i here?

Katana has a shelf that is 5 feet long.She wants to paint a design along 7/10 of the shelf. How many feet of the shelf will katana paint a design

Answers

Answer:

7.14285714286

Step-by-step explanation:

you basiclly just divide 5 by 7/10 or 5/1 divided by 7/10

Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he is able to buy 3 more every month with the money he saves from his allowance. How many more months will it be until elliot has enough cars to fill all 4 display cases?

Answers

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

List the possible rational roots and actual rational roots for the equation ,' - 5x?+ 9x2 - 7x + 2 = 0. a. +1, +2; -1, -2 +1, +3; 1, 2, 3 b. +1, +2; 1, 2 d. +1, +2; 1,6 Please select the best answer from the choices provided Ο Α OB C D​

Answers

Answer:

C

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Answers

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?

Answers

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

What is the volume of the prism below?

A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units

Answers

Answer:

the answer is B.300.Don't forget to mark brainliest

Answer:

a

Step-by-step explanation:

Plzzzz help The variables p, q, and r are rational numbers with the following properties:
p>0, q<0, and r < 0.
Based upon the given information, select the option below where both expressions have a negative value.
A Op.p and s.r
B O qr and pa
C O qr and 7pr
D O pq and 7pr

Answers

Answer:

qr and  pq

Step-by-step explanation:

68 lb 13oz - 30 lb 15 oz=

Answers

Answer:

37.875 lb (37 lb 14 oz)

Step-by-step explanation:

(There are 16 oz in 1 lb)

68 lb = (68 x 16 =) 1,088 oz

1,088 oz + 13 oz = 1,101 oz

30 lb = (30 x 16 =) 480 oz

480 oz + 15 oz = 495 oz

1,101 oz - 495 oz = 606 oz = (606 oz ÷ 16 =) 37.875 lb

Final answer:

37.875 lb (37 lb 14 oz)

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

279 is 33 1/2 of what amount

Answers

Answer:

33% of 279 is equivalent to multiplying them: 33% × 279.

Step-by-step explanation:

How to tell if your table is linear or exponential?

Answers

Answer: If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic. If the number of times the difference has been taken before finding repeated values exceeds five, the model may be exponential or some other special equation.

Step-by-step explanation: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference. This table is linear.

The price of a notebook has Risen to $9.61today. Yesterday’s price was $9.72 Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer: 1.1%

Step-by-step explanation:

$9.72 - $9.61 = .11

.11/9.60 = 0.01145833 x 100 = 1.1458333 round to the nearest tenth = 1.1%

1.3 percent is the answer

A car drives 120 miles in 2 hours Find the speed

Answers

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

Answer:

60 mph

Step-by-step explanation:

120/2=60

If the car drives 120 miles in 2 hours, divide 120 by 2 to get the unit rate

if Ad = 2x + 2 and cd= x +11, what is the value of x​

Answers

Answer: the answer is 9

Step-by-step explanation:

Someone please help me with this (look at the image above)

Answers

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

The vertices of a triangle are as follows: (6, -3), (1, 5), and (8, -4) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?

Answers

(18, -9) (3, 15) (24, -12)

Simplify 7.6 - 23

help me pleaseeee

Answers

Answer:

-15.4

Step-by-step explanation:

Simply just means "solve" or "make the equation shorter"

Answer:-15.4

Step-by-step explanation:

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