11. A company plans to have coffee mugs produced with the company logo on them. The cost of each
depends on the number of mugs that are ordered and is modeled by y =
0.0001x2 0.1x + 30, where x
is the number of mugs ordered and y is the cost (in dollars). What is the minimum cost of each mug?

Answers

Answer 1

Answer:

$5

Step-by-step explanation:

The cost of each mug  depends on the number of mugs that are ordered and is modeled by :

[tex]y =0.0001x^2+ 0.1x + 30[/tex] ...(1)

We need to find the minimum cost of each mug.

For minimum cost, dy/dx = 0

So,

[tex]\dfrac{d(0.0001x^2- 0.1x + 30)}{dx}=0\\\\2x(0.0001)-0.1=0\\\\0.0002x=0.1\\\\x=\dfrac{0.1}{0.0002}\\\\x=500[/tex]

Put the value of x in equation (1).

[tex]y =0.0001(500)^2- 0.1(500) + 30\\\\y=5[/tex]

So, the minimum cost of each mug is $5.


Related Questions

Can someone help me please, ASAP.

Answers

11/24
Change 1/3 to 8/24 (Because of common factor)
Change 1/8 to 3/24
Add them together
You get 11/24

check whether the following equations are consistent or inconsistent by comparing ratios.
1) 2x+3=5.
2) 4x+6y=15​

Answers

Answer:

yes the required equation is consistent

PLEASE help with #17! WILL GIVE BRAINLIEST!!!

Answers

Answer:

C

Step-by-step explanation:

You want to know what f(a) is when a = 3That means that wherever you see an a on the right, you put in a 3.To put the question in a bit clearer language, what is the y value (f(a)) is the y value), when a = 3

f(a) = a^3 - 4a^2 + 2a - 6f(3) = 3^3 - 4(3)^2 + 2(3) - 6f(3) = 27 - 36 + 6 - 6f(3) = - 9

A Pizza factory has come out with two kinds of pizzas.A square pizza of side 26 cm costs AED 80 and a circular pizza of diameter 28cm costs AED 80. Which pizza is a better deal? Justify your answer.[=227].

Answers

Answer:

Square pizza

Step-by-step explanation:

To obtain which pizza is the best buy:

Cost of square pizza :

AED 80

side length, s = 26cm

Area of square, A = s²

A = 26² = 676 cm²

1 AED of square pizza gives : 676 / 80 = 8.45 cm²

Cost of circular pizza :

AED 80

Radius, r = 28cm

Area of circle, A = πr²

A = 22/7 * 14 * 14 = 22 * 2 * 14 = 616 cm²

1 AED of circular pizza gives : 616 / 80 = 7.7cm²

Hence, square pizza is the better buy ;

8.45cm² > 7.70 cm²

Solve the following equations (Show your work)
F) 2/x-3=4

G 7/2x+5=2/3

H)7/x-9 -5=0

Answers

F) 2=4(x-3), 2=4x-12, 14=4x, x=3.5
G) 7=2/3(2x+5), 7=1.33x+3.333, 3.667=1.33x, x=2.75
H) 7/(x-9)=5, 7=5(x-9), 7=5x-45, 52=5x, x=10.4

Hope it helps

PLS ANSWER I WILL BE GIVING BRAINLIEST:)

Answers

Answer:

D

Step-by-step explanation:

first do what's in the parenthesis, so 2x10 is 20 and 20 divided by 2 is 10.

10 x 5 is 50

Hope this helped :)

The answer is d.
None of the others equal 50.

A small plant manufactures riding lawn mowers. The plant has fixed costs of GHC48,000 per day and a variable cost of GHC1,400 per unit produced. The mowers are sold for GHC1,800 each. The cost and revenue functions are in that order and , where is the total number of mowers produced and sold each day. How many units must be manufactured and sold each day for the company to break even?

Answers

Answer:

120

Step-by-step explanation:

The break-even point is the point where revenue =cost

48,000+ 1400x = 1800x

48000=400x

X=48000/400

X=120

Equilibrium quantity is 120 mowers

Please help ?? I don’t remember how to do this

Answers

Answer:

i hope it help you

Step-by-step explanation:

1) x not equal 3

2) x not equal 5 and greater than or equal 3

3) x greater than or equal 3

4) x not equal 5

Were your total results for the ten rounds close to the theoretical probability?

Answers

Answer:

yes?

Step-by-step explanation:

im sorry im confused as to what your asking? will you type it in the comments so i could try and answer correctly!

hmmm im not sure about this

First to answer gets brainliest

Answers

The value of the house increases by 104% would be my first option

Answer:

I'm pretty sure it's d.

Step-by-step explanation:

Here is a better image of the question.

PLEASE ANSWER THIS QUESTION RIGHT THIS IS A TEST.Camila's dad gave her an ant farm for her birthday. At the time of each day, she counts the number of ants inside the farm. The table models the relationship between the number of days and the number of ants in the ant farm. Which function correctly models the number of ants, A(d)In the ant farm after D days?

Answers

Answer:

The second choice

Step-by-step explanation:

Try to plug in the numbers and see

The Weight On Earth Compared To Some Rando Planet... pls help

Answers

Answer:

if your talking about the earth i dont know because no one have ever compared some random planet and earths weight

Step-by-step explanation:

That’s because the planets weigh different amounts, and therefore the force of gravity is different from planet to planet. For example, if you weigh 100 pounds on Earth, you would weigh only 38 pounds on Mercury. That’s because Mercury weighs less than Earth, and therefore its gravity would pull less on your body.

Can someone help me understand this?

Answers

The radius will be the number given divided by 2

Answer:

You have to divide the number in the middle by 2 to find the answer

Jay is trying to read 17 pages in his book each night. The book is 204 pages long. How many days will it take him to read the book? Write and solve an equation to represent the situation.

Answers

Answer:

12

Step-by-step explanation:

204÷17=12

What is the answer please help me

Answers

Answer:

C

Step-by-step explanation:

1.58 x n = z

another way of showing:

z = 1.58n

Pleaaasee need correct answer! Brainliest(:

Answers

Answer:

Choice 4 is the correct answer

Answer:

2 the transitive property :))))))))))))

Step-by-step explanation:

Someone please help with 13 and 14

Answers

Answer:

Step-by-step explanation:

13 is 76 because it’s vertical to UYV

14 is 40 because it’s vertical to TYU

someone please help and explain asap will mark brainliest!!

Answers

Answer:

x-1=8

y+1= 28

Step-by-step explanation:

Hope this helps

Please mark brainliest

A friend gives you 120 feet of fencing. You want to make a circular dog
pen in your backyard using as much of the fencing as possible. What will
be the diameter of your dog pen? (nearest whole number) *

Answers

Answer:

120 feet of fence is enough for a circle 38 feet in diameter

write the equation of a line that has a slope of 3x - 4y = 12 and passes through the point (8, 8)

Answers

first of all we have to find the slope

3x - 4y = 12

-4y = 12 - 3x

y = -3 + ³/₄ x

y = ³/₄x - 3

so the slope is ³/₄

now the equation is :

y-y₁ = m (x-x₁)

y-8 = ³/₄ (x-8)

y-8 = ³/₄ x - 6

y = ³/₄ x -6 + 8

y = ³/₄x + 2

WILL MARK BRAINLIEST
A survey was given to 300 students in a Kindergarten class about their favorite subject. 28% of the students choose math as their favorite subject, 45% chose reading and 23% chose both, reading and math. What percentage of students prefer reading only?

Answers

Answer:

22%

Step-by-step explanation:

you subtract the both from the reading.

The percentage of students prefer reading only is 22%.

Given that,

A survey was given to 300 students in a Kindergarten class about their favorite subject. 28% of the students choose math as their favorite subject, 45% chose reading and 23% chose both, reading and math.

Based on the above information, the calculation is as follows:

= 45% - 23%

= 22%

Therefore we can conclude that the percentage of students prefer reading only is 22%.

Learn more: brainly.com/question/6201432

HURRY
An angle measures 47°. What are the measures of the angle’s complement and supplement? A. complement, 43°; supplement, 133° B. complement, 133°; supplement, 43° C. complement, 53°; supplement, 143° D. complement, 143°; supplement, 53°

Answers

The angle that is complementary to 47° is 43°

The supplementary angle of 47 degrees is 133 degrees

Answer:

A.)  complement, 43°; supplement, 133°

Step-by-step explanation:

A compliment angle is any angle(s) that adds up to 90°

A supplement angle is any angle(s) that adds up to 180°

For compliment:

90 - 47 = 43

For supplement:

180 47 = 133

Therefore, the answer would be A.

-kiniwih426

You like math then here

Answers

Answer:

-8b + 9 - 5k

Step-by-step explanation:

I am assuming the blue highlighted portion is your answer, and is not a part of the initial question

(-4b + 15 - 7k) - (6 + 4b - 2k)

Combine like terms

-4b - + 4b

Negative + Positive = Negative

-4b - 4b = -8b

15 - 6 = 9

-7k - - 2k

Negative + Negative = Positive

-7k + 2k = -5k

Put them all together:

0b + 9 - 5k

Simplify

-8b + 9 - 5k

I got the same answer as you (just in a different order)

What property is shown below?
129 × 1 = 129
OA.
Commutative Property of Multiplication
OB.
Associative Property of Multiplication
OC. Identity Property of Multiplication
OD
Identity Property of Addition

Answers

Answer:

Associative property of multiplication

Step-by-step explanation:

50 points pls answer
How many square yards in a 120 yd. by 50 yd. football field?

Answers

Answer:

666.67

Step-by-step explanation:

Multiply 120x50 and then divide that answer by 9 since we are calculating the square yards

CAN SOMEONE PLZ HELP

Answers

Answer:

File will help, im sure

Step-by-step explanation:

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

Dave plays drums and at his maximum tempo he can play 540 beats in 3 minutes. Lanise also plays drums and at his maximum tempo he can play 900 beats in 5 minutes. Who can play more beats per minute?

Answers

Answer: the unit rate is the same

Step-by-step explanation:

The percent of sales tax is 8% if the skateboard cost $98 what is the total amount you will pay including tax?

Answers

Answer:

The total amount of tax is $7.84, so add that to $98 and you get $105.84 dollars total.

Step-by-step explanation:

what's
[tex]5 {}^{ \frac{3 + 5}{2} } [/tex]

Answers

5^3+5/2=5^8/2=5^4=625

6 2/8 + 4 3/4 whats the answer

Answers

Answer:

11

Step-by-step explanation:

6 2/8 = 6 1/4

6 1/4 + 4 3/4 = 10 4/4

11

Answer:

11

Step-by-step explanation:

add the whole numbers and fractional parts of the mixed numbers separately

(6+4) +(2/8+3/4)

10+(2/8+3/4)

10+1

11 is the answer

Other Questions
The ________________________ option allows one to start a numbered list on any number desired. [Set Starting Number Values]Question 7 options:Number FormatsChange List LevelDefine New Number FormatSet Numbering Value please answer attached question!!! 1 2/7 divided by 1/2 how to solve this question Question: find the simplified trig ratio (fraction) of sin Rsin R =-- ?---- I need help what is an interpretation?A) The written way the author intended his or her story to beB) The way a person might understand a story or bring it to lifeC) The most popular way a story has been recorded on the screenD) The process of writing a story and then getting it published help me pleaseproteins are large polymers that are used for many functions, list three Analyze and identify this sentence structure:The muscles in my wrist are cramping as I struggle to type my essayYour answer:-simple-compound-complex-compound-complex what is the main difference between base pairing during DNA replication and base pairing during transcription Choose the correct verb form to complete each sentence.3. Ella le (dio, di) un regalo.4. Nosotros (vimos, vieron) la pelcula en espaol.5. Yo (sali, sal) anoche.6. Ustedes (aprendi, aprendieron) mucho.i will give brainilest and five stars and 20 points for the best answerplease help if i has 90 apples i ate 9 but 1 more in then ate three hou much do u have When future historians examine our contemporary age, they will likely be perplexed by many things. Of course, change is a constant throughout history. The past flows into the present, which in turn the future.Fill in the blank with the correct answer.A) destroysB) controlsC) merges withD) rallies around Some of the Pygmies of the Congo are the____and the____ Along what river is Tulsa located? A. Colorado B. Texas C. Arkansas D. Red Patty and Bob were in a romantic relationship. While they were seeing each other, Patty and Bob acquired an electronics service center, Bob paying $60,000 and Patty running all facets of the center. The center becomes very profitable. Two years later, when the romantic relationship ended, Bob goes to court for a declaration that they had no partnership because they did not have a written partnership agreement and Patty contributed no cash, she was merely an employee. Did they have a partnership plsssss help right now pls pls pls pls pls There are a total of 10 pigs and ducks in the barn. There are 36 legs in all (each pig has four legs and each duck has two legs). Use substitution to solve the linear system of equations and determine how many pigs, x and ducks, y there are. Express the solution as an ordered pair (x,y). PLEASE HELP I WILL MARK BRAINLIEST!!! Points L, M, and N lie on the surface of a sphere withits center at point O. Point T lies in the interior of thesphere. Which segment represents a chord of thesphere?a: OTb: LMc: LTd: ON PLEASE HELP ME: Strawberries cost $1.24 per pound. What is the cost for 3.16 pounds of strawberries? 20s, 140e what continent is this Discuss two of this excerpt's themes. How does Shakespeare develop these two themes over thecourse of the entire play? Support your argument with evidence from the text. (30 points)