3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y is the profit. Determine the number of units that should be sold to yield the maximum profit.

Answers

Answer 1

9514 1404 393

Answer:

  350,000

Step-by-step explanation:

The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...

  x = -(140)/(2(-0.0002)) = 1,400,000/4

  x = 350,000

350,000 units should be sold to maximize profit.


Related Questions

When a figure is rotated, does every point move the same distance? Explain.
Choose the correct answer below.
O A. Yes. When rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point
OB. No. The angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the
distance each point moves varies.
O C. Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
OD. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Ku

Answers

Answer:

D. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.

Step-by-step explanation:

Rotation is a type of transformation which involves turning a given figure about a reference point to produce its image. This would produce an image with the same size as the object.

A given figure or shape has different parts or points. Since each point on the figure is at different distance to the reference point, thus they do not cover the same distance but move through the same angle of rotation. Each individual point move through the same angle but do not cover the same distance during rotation.

Therefore, the appropriate option is D.

Answer: D

Step-by-step explanation:

ANSWE ASAP PLEASE USE SURDS WILL GIVE THANKS/BRAINLIEST

Answers

Answer:

Exact Form:

5√6

____

12

Decimal Form:

1.02062072

...

Factor x^2+49 and if possible write the process of how to do it

Answers

Answer:

It is in the simplest form unless you want to put in a number for x.

Step-by-step explanation:

Answer:

Hi pls dont tell anyone its me pls and thank you

Step-by-step explanation:

What makes a system of inequalities different from a
system of equations?

Answers

Answer:

an equation is a mathematical expression that contains an equals sign. It tells us that two expressions represent the same number. For example, y = 12x is an equation. An inequality is a mathematical expression that contains inequality signs.

Step-by-step explanation:

Dan invests £3400 into his bank account.
He receives 5% per year compound interest.
How much will Dan have after 6 years?
Give your answer to the nearest penny where appropriate

Answers

Answer:

$4556

Step-by-step explanation:

Step one:

given data

Principal =£3400

rate= 5%= 0.05

time = 6years

Step two:

Required

The final amount A

A= P(1+r)^t

A=3400(1+0.05)^6

A=3400(1.05)^6

A=3400*1.341

A=$4556

after 6 years Dan will have $4556

please solve this! ​

Answers

Answer:

slope of doted lines: -3/1  

slope of reflection line: 1/3

Step-by-step explanation:

Which one do i pick?

Answers

Answer:

SAS postulate

Step-by-step explanation:

the congruent angles are JMK and KML

the congruent sides is the shared side and JM and ML

A boat travels x miles per hour down the mississippi river. On the return trip, the boat travels 5 mikes per hour slower for 6.5 hours. How far does the boat travel down the river?

Answers

Step-by-step explanation:

x miles per hour so you need to add then 5+6.5 is 11.5

ABC - RST, AB=8, BC=18, ST=20. Find RS?​

Answers

Can you see that picture

Write an equation of the line with a slope of 2/3 and y-intercept of -8.

Answers

Answer:

y = mx + b

y = 2/3x + -8

M = 2/3

y -intercept b is -8

Step-by-step explanation:

ANSWER FOR BRAINLIEST

In a class, the ratio of boys to girls is 6:5. If there are boys. If there are 18 boys, how many girls are there?

Answers

Answer:

18 boys and 15 girls

Step-by-step explanation:

Since the ratio is 6:5 and there are 18 boys, you do 18/6=3

Then you do 5*3=15

An answer was deleted so imma replace it

The answer is 18:15

I will give branlyest 2/11 ≥ 4/25


true false

Answers

Answer:

True.  2/11 is greater than 4/25

Step-by-step explanation:

Hope that helps!

Answer:

True

Step-by-step explanation:

The LCM of 11 and 25 is 275.

2/11 -> 50/275

4/25 -> 44/275

2/11 is greater

Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
a. x-4y=8
b. x+4y=-8
c. 4x+y=-2
d. 4x-y=2

Answers

Answer:

x-4y=8

Step-by-step explanation:

x-4y=8

-4y=-x+8

y =-x/4 + 2

What is the equation of the line through the origin and (-5, 6)?

A. y=-5x

B. y=-5/6x

C. y= -6x

D y= -6/5x​

Answers

Answer:

y= -6/5x

Step-by-step explanation:

y=-6/5x+0

=> The answer is D.

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer:

see step by step explanation

Step-by-step explanation:

part a: x=1/72  because there are 72 x's in the one so 1/72

part b: x=1/70 because there are 70 x in 1 so x = 1/70

Answer:

(7^2)^0

Step-by-step explanation:

The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.

What is the recursive formula for this sequence?
10, 14, 18, 22, 26, ...

Answers

The only thing you do is add 4

10+4=14

14+4=18

18+4=22

22+4=26

26+4= 30

30+4=34

34+4= 38

it's f(n+1)=4+f(n) or an+1=4+an

Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Aaron's test score (out of 20) if he got 6 questions wrong? What would be his score if he got x x questions wrong?

Answers

Answer: that is a 30% if he got 6/20 if he got 0/20 he would fail.

Step-by-step explanation:

Answer:

x$;$;);)

Step-by-step explanation:

hrhhdhdhdhdhdbd

Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each car she sells.

Maria sells a motorcycle for $5,000 and a car for $25,000. What is the total commission that she will earn on the sale of these two vehicles?
A.
$5,500
B.
$5,000
C.
$4,850
D.
$4,250

Answers

the answer is d. $4,250

A customer wants to purchase a sweater from a store.

- The original price of the sweater is $40.
- The sweater is on sale for 10% off the original price.
- The customer has a coupon for 25% off the sale price.

The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?
A) The customer’s claim is correct. The final price of the sweater will be $5.
B) The customer’s claim is correct. The final price of the sweater will be $26.
C) The customer’s claim is incorrect. The final price of the sweater will be $27.
D) The customer’s claim is incorrect. The final price of the sweater will be $30.

Answers

Answer:

400

Step-by-step explanation:

sale for 10% off the original price.

- The customer has a coupon for 25% off the sale price.

The customer claims that she can determine the final price of the sweater by taking 35% off the original price since 10%+25%=35%. Which of the following statements is true?

A) The customer’s claim is correct. The final price of the sweater will be $5.

B) The customer’s claim is correct. The final price of the sweater will be $26.

C) The customer’s claim is incorrect. The final price of the sweater will be $27.

D) The customer’s claim is incorrect. The final price of the sweater will be $30.

= 400

Answer:

C) The customer’s claim is incorrect. The final price of the sweater will be $27.

A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of

the sun?. Draw a right triangle and round to the nearest tenth of a degree.

Answers

Answer:

50.6°

Step-by-step explanation:

The reference angle = angle of elevation [tex] (\theta) [/tex]

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(\theta) = \frac{78}{64} [/tex]

[tex] tan(\theta) = 1.21875 [/tex]

[tex] \theta = tan^{-1}(1.21875) [/tex]

[tex] \theta = 50.6 [/tex] (nearest tenth)

Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 4.5 hours. For the first half-hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?

Answers

Answer:

Speed in heavy traffic is 32 miles per hour

Step-by-step explanation:

Total distance = 252miles

Total time = 4.5hours = 4 hours + 30minutes

Let the speed in heavy traffic = x

distance = time * speed

First half hour    

D1 = 0.5*x

The speed after the traffic = 2x - 5

D2= 4* (2x - 5)  

Total distance = D1 + D2

    [tex]\frac{x}{2}[/tex]  + 8x - 20 = 252

        [tex]\frac{17x}{2}[/tex]   = 272

      x = [tex]\frac{272}{17}*2[/tex]

      x = 32 miles per hour

What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?
Here are the answer choices:
A: y−10=1/3(x−6)
B: y=1/3x+8
C: y−10=−3(x−6)
D: y=−3x+28

Answers

Answer:

B

Step-by-step explanation:

sope intercept form: (y=mx+b)

m = slope

m = 1/3 (slope of parallel lines are the same)

10 = 1/3(6)+b

10 = 2+b

b = 8

write with slope and b

y = 1/3x+8

The answer is B

Help need answer ASAP 7/15% of a quantity is equal to
? of the quantity.

Answers

Answer:

Step-by-step explanation:

7/15 = .4666 = 46.66%

how do I graph this

Answers

Answer:

ight so you put a dot at -2 and then go up like, go up -2 line until you look across and it says 7 and put a dot there

Step-by-step explanation:

In one week, a printing center made 1,232 copies of a 35 page article. The printing center also printed 556 copies of a 18 page essay. How many pages did the printing center print during the week?

Answers

the printing center printed 53,128 pages during the week

The printing center printed 53128 pages in a week.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a printing center that made 1,232 copies of a 35 page article. The printing center also printed 556 copies of a 18 page essay.

Assume that they printed a total of [x] pages, then we can write -

x = (1232 x 35) + (556 x 18)

x = 43120 + 10008

x = 53128

Therefore, the printing center printed 53128 pages in a week.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ5

Please Help ME!!
Identify two or more drawbacks/cons of having one-way streets within a grid street system.

Answers

Answer:

One way streets make it harder to turn into business, also one way streets often are long and they can throw you off your course

Step-by-step explanation:

I hope this helps

Bruno was given $2000 at birth. His parents invested it at a 2% interest rate compounded
annually. No deposits or withdrawls were made. Which expression can be used to determine
how much money Bruno had in the account when he turned 13?

Answers

Answer:

$2588

Step-by-step explanation:

Step one

given data

principal=$2000

rate = 2%= 0.02

time t= 13 years

Required

the final amount in the account

Step two:

A=P(1+r)^t

A=2000(1+0.02)^13

A=2000(1.02)^13

A=2000*1.294

A=$2588

Bruno will have in the account when he turned 13, $2588

The scatter plot shows the hard drive capacities (in gigabytes)
and the price in dollars) of 10 laptops.
a. What is the price of the laptop with a hard drive of 8
gigabytes?
b. What is the hard drive capacity of the $1200 laptop?
gigabytes
c. What tends to happen to the price as the hard drive capacity
increases?
The price of the laptop

Answers

Answer:

a. From the scatter plot, the price for the laptop with a hard drive of 8 gigabytes = $1,100

b. From the scatter plot, the hard drive capacity of the $1,200 laptop = 12 gigabytes

c. As seen in the scatter plot, as the hard drive capacity increases, the price of the laptop increases

Step-by-step explanation:

What are the zeros of this function?
-5
O A. X = 3 and x = 6
O B. x = -2 and x = 4.5
O C. x = 0 and x = 3
O D. x = -6 and x = -3

Answers

Answer:

A. X = 3 and x = 6

Step-by-step explanation:

Since graph is intersecting x-axis at 3 and 6, therefore 3 and 6 are zeros of this function.

The zeros of the function are x = 3 and x = 6

How to determine the zeros of the function?

The zeros of the function are the x values where the graph crosses the x-axis

From the figure, the graph crosses the x-axis at:

x = 3 and x = 6

Hence, the zeros of the function are x = 3 and x = 6

Read more about zeros of function at:

https://brainly.com/question/20896994

A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck

Answers

Given :

A morning truck can carry no more than 1480 pounds of cargo.

Brian loaded 640 pounds into the truck already.

He is loading boxes that weigh 70 pounds.

To Find :

How many boxes can he out into the truck.

Solution :

Weight left for carrying cargo, W = 4180 - 640 pounds

W = 3540 pounds

Number of boxes of 70 pounds cargo he can carry in truck is :

[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .

Therefore, number of box they can carry is 50.

Hence, this is the required solution.

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