The cost c in dollars of manufacturing x bicycles at a production plant is given by th function shown below C(x)=5x^2-1000x+63,500. How many bicycles must be manufactured to minimize the cost

Answers

Answer 1

Answer:

100 bicycle

Step-by-step explanation:

Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.

x is the number of bikes

To minimize the cost, dC/dx = 0

dC/dx = 10x - 1000

Since dC/dx = 0

0 = 10x - 1000

-10x = -1000

x = 1000/10

x = 100

Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle


Related Questions

help me with this please

Answers

Answer:

Step-by-step explanation:

if 45+47=t and t=45+47    t would equal 92 in both

45+47<t than t<45+47

so basically its saying 92<t (92is less than t)  and t<92 (t is greater than 92)

he is not right. When you have an equation like that the answer is 92. Its not going to be greater or less than 92. It is 92. It should be t=92

hope that masks some kind of sense. It after 1am here so I apologize if it doesn't sound right...



A)The function has two x-intercepts

B)The y-Intercept is at (0,7)

C)The maximum value is 1

D)The minimum value is 1

E) The range includes all real numbers

Answers

It’s d the minimum value is 1 of the graph

Which ordered pair is a solution to the graphed inequality?

Answers

Given:

The graph of a system of inequalities.

To find:

The ordered pair which is a solution to the graphed inequality.

Solution:

The boundary lines are:

[tex]x-2y=4[/tex]

[tex]2x-y=4[/tex]

From the given graph it is clear that only point (3,1) lies in the shaded region.

Points (2,-1) and (4,0) lie on the boundary line [tex]x-2y=4[/tex] but the boundary line is dotted. It means the points on the line are not in the solution set.

point (0,-1) does not belong to the shaded region.

Therefore, the correct option is A.

The sum of 3 and y is greater than 10

Answers

Answer:

3 + y > 10

Step-by-step explanation:

Is your expression.

Just use the keywords the sum of and greater than.

8. Write y-x-y-x in simplest form.



10 points ​

Answers

Answer:

Easy -2x

Step-by-step explanation:Because both a positive y and a negative y cancle out eachother so all thats left is both of the negative x's

PLEASE SHOW YOUR WORK FAM, I NEED HELP

What is x + 25 = 76?

Is it...
A. 51
B. 101
C. 41
Or D. 52

Answers

Answer:

76-25= 51

Step-by-step explanation:

Answer:

A. 51

Step-by-step explanation:

Subtract 25 from each side to isolate the variable

it would look like this:

x + 25 = 76

  -25     -25

x = 51

hopefully that helps!

What is the length of a rectangle with an area of (4x^2-10x-6) and a width of (x-5)
Help lleaseee

Answers

Should be x=6 also it doesn’t let me send this without it being 20 characters so sorry for that

A shipping container is in the shape of a right rectangular prism with a length of 10
feet, a width of 14 feet, and a height of 2 feet. The container is completely filled with
contents that weigh, on average, 0.8 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?

Answers

Answer:

224 lbs

Step-by-step explanation:

V = xyz = 10(14)(2) = 280 ft³

280(0.8) = 224

Santosh spent $200, before tax, on a DVD player and DVDs. The player cost $120, new DVDs cost $15 and used DVDs cost $5. Santosh purchased the same number of new and uses DVDs. Write and solve an equation to find the number of each type of DVD Santosh purchased.

Answers

Answer:

Santosh purchased 4 new and 4 used DVDs.

Step-by-step explanation:

From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:

15x+5y=80, where:

x refers to the number of new DVDs

y refers to the number of used DVDs

Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:

15x+5x=80

20x=80

x=80/20

x=4

According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.

You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than $\frac{2}{3}$ of the elevation of the entrance. What is the elevation of the entrance?

Answers

Answer:

the elevation of the entrance is -21

Step-by-step explanation:

The computation of the elevation of the entrance is shown below;

-15 = -1 + 2 ÷ 3e

e = -21

Hence, the elevation of the entrance is -21

We simply applied the above equation so that we can determine the elevation of the entrance

Please help I’m getting bots

Find the distance between the points (4, 2) and (-4, -4).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

___ units

Answers

Answer:

10

Step-by-step explanation:

try using math    way. i use it all the time

Okay have posted the next one.

Answers

1 and 3, same explanation as last time

Answer: 1 and 3

Step-by-step explanation:

You and a friend are each driving a car in opposite directions. You both leave your house at the same time. If you are traveling at “a” miles an hour and your friend is traveling at “b” miles an hour, make up a formula to show how far apart the two cars are after 5 hours. Let “Y” represent the total distance.
Please help i need the formula too

Answers

Answer:

y = a - b(5) i think that's it

Step-by-step explanation:

Ifoeifflbfjriffifirifiidieirieieiririeieejnfrjejeidiejeeifjeifirjejee

please hurry and answer

Answers

Answer:

20

Step-by-step explanation:

Kyala =x+24

ze=x

in 2 years=2 (x+24)=2x+48

x= 2x+48

x=48

48-28=20

What value of x satisfies the equation below?
[tex]\frac{-2x - 6}{5} = 4[/tex]

Answers

Answer: -13

Step-by-step explanation:

1. Isolate x: move 5 to the otherside

=> -2x-6=4*5 => -2x-6=20

2. Move 6 to the otherside: -2x=20+6 => -2x=26

3. Divide both sides by -2

=> x=26/-2 => x=-13

Have a nice day! :D

Lily wants to ride her bicycle 43 miles this week. She has already ridden 16 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

Answer:

43-16=miles left to go. divide that by the 6 days left.

43-16= 27 miles.

27÷6= 4.5 miles per day

Answer:

4 1/2 miles

Step-by-step explanation:

43 - 16 = 27 miles remaining

27/6 = 4 3/6 or 4 1/2

solve for x
similar triangles advanced

Answers

Answer:

x = 2.57

Step-by-step explanation:

6/x = 7/3

7x = 18

x = 2.57

check:

if x = 2.57

then:

2.57/6 = 3/7

0.4283 = 0.4283

that checks as correct

Add 8x to 2x and then subtract 5 from the sum. If x is a
positive integer, the result must be an integer multiple
of...
A. 2
B. 5
C. 8
D. 10
E. 15

Answers

Answer:10

Step-by-step explanation:

Two angles in a triangle measure 102° and 670. What is the measure of the third angle?
0 110
0789
1139
O 169°

Answers

Step-by-step explanation:

step 1. wow! 670° I think you mean 67°

step 2. the 3 internal angles of a triangle add up to 180°. let x be the third angle

step 3. x + 102 + 67 = 180

step 4. x + 169 = 180

step 5. x = 11°.

For what values of x will this function be defined?

Answers

Answer:

U have to put up the graph or something so i can answer your question.  thank you!

Step-by-step explanation:

A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78

Answers

Answer:

$31.88

Step-by-step explanation:

Given

Consumer charges = 2530.16cents

Consumer charges in dollars = $25.3016

Interest rate per day = 0.042%

Interest gotten per day = 0.042×25.3016

Interest per day = $1.06266

Interest in 30 days = ,30×1.06266

Interest in 30 days = $31.88

Answer:

c pls mark barliest

Step-by-step explanation:

Solve for x

-3/4(x+2)=6

X=?

Answers

Answer:

-10

Step-by-step explanation:

Sharlene wraps a cylindrical package that has a height of 15 inches and
a radius of 3 inches. What is the package’s surface area?

Answers

Answer:

339.3 cubic inches

Step-by-step explanation:

SA (cyl) = 2πr² + 2πrh

SA = 2(3²)π + 2(3)(15)π

SA = 18π + 90π

SA = 108π

SA ≈ 339.3 in³

Can someone help me with these 3 questions please

Answers

Answer:

1. 1.5. 2.negitive 3. reciprocal hope it helps so sorry if its wrong

Combine like terms for the following expression:
-3x +14 - 11+ 11x

Answers

Step 1. 11x -3x = 8x
Step 2. 14-11 = 3
Answer: 8x + 3

How did 15/24 become an equivalent fraction of 5/8?

Answers

15 divided by 3 and 24 divided by 8

Answer:

You divide 15 by 3, and divide 24 by 3

Step-by-step explanation:

15/3 = 5

24/3=8

5/8

HELP DUE IN 10 MINS! Finish the statement.

Corresponding sides of similar figures are??

Answers

Answer:

proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

what is the lcm of 6 and 8

Answers

Answer:

The LCM, or least common multiple, of 6 and 8 is 24.

Answer: 2

Step-by-step explanation:

First you find the multiples of 6 and 8 then you do this.

2x3

2x2x2x2x2x4

Then you circle the 2’s and so the lcm on 6 of six and 8 is 2.

The length of a rectangle is 7 centimeters greater than the width.
The perimeter is 54 centimeters. Find the length and width.

Answers

Answer:

length = 17cm, width = 10cm

Step-by-step explanation:

2L + 2w = 54

L = w + 7

Substitute:

2(w + 7) + 2w = 54

2w + 14 + 2w = 54

4w = 40

w = 10

L = 10 + 7 = 17

it takes mike 18 minute to read 4 pages of a book how long does it take for him to finish read a 30 pages?​

Answers

Answer:

135 minutes / "2 hr. and 15 minutes

Step-by-step explanation:

18/4= 4.5 min per page

4.5 x 30 = 135 mins

It’ll take Mike 135 minutes to read 30 pages!! Hope this helps
Other Questions
Read the article "Overcoming Difficulties: How Helen Keller Learned to Communicate" and answer the question.Every day, millions of people worldwide use their mouths to speak, their ears to hear, and their eyes to see. However, not all people have those abilities. Some are born without the ability to speak, see, or hear. Others lose one or all of these abilities due to illness or accident. Not being able to communicate can be a major obstacle, but people who overcome these challenges are often determined, resourceful, and dedicated to helping others. Instead, people who have to overcome these challenges are often determined, resourceful, and dedicated to helping others.A Great TeacherOne person who did not allow her disability to limit her was Helen Keller. Keller, who became blind and deaf at the age of one and a half due to illness, learned at a very young age that her life was going to be different. As a child in the late 1800s, she did not have access to the technology we have today that assists people with disabilities in their daily lives. Instead, she had a very dedicated and creative teacher who stuck with Keller throughout her life. This teacher's name was Anne Sullivan. As a result of Sullivan's dedication and Keller's own determination, she learned when many thought she could not.Learning How to CommunicateSullivan helped her learn to communicate by using the resources and abilities Keller did have. Keller could touch, taste, and smell. Sullivan taught her to associate hand movements with words. She would spell words on Keller's hand while having her touch the related object. By associating a physical object with the hand movements, Helen learned the meaning of countless words. Learning to speak was tackled in a similar way. By feeling lips as they moved, Keller learned how to use her lips to form words. Using such innovative techniques and the resources available to her opened whole new worlds for Keller's learning. Sullivan encouraged and mentored Keller, never letting her give up and always believing the best for her.An Inspiration to OthersAnother way Keller learned to communicate was through writing. As an adult, she attended Radcliffe College, which allowed her to advance her education, even though many people doubted her ability to be successful. While she was there, she wrote her autobiography, which told the world about her struggles and accomplishments. She was able to share her story through Braille, a form of writing using raised dots felt with the fingers. Throughout her entire college career, Anne Sullivan was beside her, encouraging Keller and interpreting the words she could not see and the sounds she could not hear. Helen Keller's perseverance and Anne Sullivan's dedication became an inspiration for many children and adults around the world.Helen Keller went on to be a successful author and teacher. She became a mentor to other children and adults living with disabilities. To this day, Keller is remembered for her determination, resourcefulness, and dedication that helped her to overcome obstacles and inspire others. (2 points)Which details best support the claim that Keller learned to communicate successfully?. going to give brainliest whoever answers first19. What impact in the development of steamships, railroads and the automatic rifle have? * A. They made possible a new wave in European imperialism in Africa and Asia. B. They led to the exploration and colonization of North and South America. C. They resulted in the Renaissance and Reformation. D. They caused a mass migration from the United States to Europe. Please will anyone help me out with this math problem? I will give them a crown. 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