The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.

a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.

Answers

Answer 1

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]

From the given parameters:

[tex]Fixed\ Cost = 9000[/tex]

[tex]Variable\ Cost = 15[/tex]

[tex]Number\ of\ Items = N[/tex]

So, the expression becomes:

[tex]C = 9000 + 15 * N[/tex]

[tex]C = 9000 + 15 N[/tex]

Solving (b): Cost of 250 widgets

In this case:

[tex]N =250[/tex]

Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]

[tex]C = 9000 + 15 * 250[/tex]

[tex]C = 9000 + 3750[/tex]

[tex]C = 12750[/tex]

The Total Cost C For A Manufacturer During A Given Time Period Is A Function Of The Number N Of Items

Related Questions

It was 4:00 P.M. when John started mowing the lawn and it took him 50 minutes to finish. What time did John finish mowing the lawn?

Answers

Answer:

4:50 P.M.

Step-by-step explanation:

Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.

Hope this helps!

Maybe brainliest?

The answer to this question is 4:50 PM

There are 18 black and 12 navy socks in your drawer. The room is dark and you
cannot turn on the light. What is the least number of socks that you have to take out of
your drawer to be certain that you have a pair of black socks?

Answers

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

Given that,

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

We have to determine

What is the least number of socks that you have to take out of  your drawer to be certain that you have a pair of black socks?

According to the question,

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

The total number of blue socks is 18,

And the total number of navy socks is 12.

The probability that the socks come out is black socks is,

[tex]\rm P_b = \dfrac{18}{18+12}\\\\P_b= \dfrac{18}{30}\\\\P_b = \dfrac{3}{5}[/tex]

And the probability that the socks come out is navy socks is,

[tex]\rm P_n = \dfrac{12}{18+12}\\\\P_n= \dfrac{12}{30}\\\\P_n = \dfrac{2}{5}[/tex]

On comparing both the probability,

[tex]\rm P_b>P_n[/tex]

Hence, The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

For more details refer to the link given below.

https://brainly.com/question/19200823

Answer:3

Step-by-step explanation:

I found this out because is you take 3 out you will get BLUE BLUE BLACK or BLACK BLACK BLUE or BLUE BLUE BLUE or BLACK BLACK BLACK

Hope that helps

Jessica drank 3 1/2 glasses of water that was twice as much as her sister how many glasses did Jessica drink

Answers

Trick question: Jessica still only drank 3.5 glasses of water it doesn’t matter what her sister did it does not effect what Jessica drank.

What is the unit rate for this?
Time: 1, 2, 3, 4
Amount: 0.6, 1.2, 1.8, 2.4

Answers

Answer:

1:0.6

Step-by-step explanation:

PLEASE HELP ;-; Ill GIVE BRAINLY
What is the solution to the following system of equations? Explain how you know.

Answers

Answer:

-3,1

Step-by-step explanation:

When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer

A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "4 of spades".
Give your answer in its simplest form.​

Answers

Answer:

1/52

Step-by-step explanation:

We are given that

Total number of cards=52

Number of cards of 4 of spade=1

We have to find the probability of choosing the "4 of spades".

We know that

Probability, P(E)=[tex]\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}[/tex]

Using the formula

The probability of getting 4 of spade=[tex]\frac{1}{52}[/tex]

Hence, the probability of choosing the "4 of spades"=1/52

Help meeeeee please I have to do this

Answers

Hi there!

b=3·b=3b

This means:

1=3, 2=6, 3=9, 4=12, 5=15, 6=18, 7=21, 8=24, and 9=27.

Multiply by 3 everytime...

if b is 3, then the expression is is 3·b or 3b.

Final Result: 3b

Given :

Minutes taken to fill Sylvia's bathtub with water = b minutes

To Find :

Minutes taken to fill three bathtubs like Sylvia's bathtub = ?

Solution :

As, we are given :

Minutes taken to fill Sylvia's bathtub with water = b minutes

Therefore,

Minutes taken to fill 3 bathtubs like Sylvia's bathtub = 3 × b minutes = 3b minutes

Hence, Minutes taken to fill 3 bathtubs like Sylvia's bathtub are 3b minutes.

Find the mean for each set of data, weights of cats at a pet store in pounds: 5,4,10,7,6​

Answers

Answer:

6.4

Step-by-step explanation:

add all numbers together then divide by 5

A restaurant wants to study how well its salads sell. If 10 of the salads sold were ​salads, how many total salads did the restaurant​ sell?

Answers

Uh 10,I don’t know if this is a joke or if your wording was just wrong but the answer is 10 based off off your wording.

Answer:

Um... is this a joke it’s 10

Step-by-step explanation:

Choose the graph that solves this system of equations.
y = 2x - 6
y = -4x + 3

Answers

The correct answer is Option C

The Option C is correct.

System of equations:

Given equations are,

             [tex]y = 2x - 6\\\\y= -4x + 3[/tex]

When we draw the graph of both equation of line.

Then these lines intersect at a point [tex](1.5,-3)[/tex].

So that option C is correct.

The correct graph is attached below.

Learn more about the system of equations here:

https://brainly.com/question/13729904

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

Answers

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

How do you find the mean?

Answers

Answer:

mean is when you add all the numbers together then divide by how many values there are

Step-by-step explanation:

Plz help i need to do number 12 i need the area and perimeter make sure you round to the nearest whole number

Answers

Answer:

Area= 24 and perimeter equals 12

Step-by-step explanation:

Answer:

I think the perimeter is 18mm

Step-by-step explanation:

i assume that the curve is 6mm I take 6+6+2+2=18

a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D? ​

Answers

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Include Related Answers

Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

Continue Reading

3

1

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

What is 120% of 180?

Answers

The answer is 66.7. I hope this is right

Step-by-step explanation:

[tex] \tt{120 \: \% \: of \: 180}[/tex]

Convert % to fraction. For that , Divide 120 by 100 :

⇢ [tex] \tt{ \frac{120}{100} \times 180 }[/tex]

Calculate

⇢ [tex] \tt{216}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{216}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

please help I'm a week behind.Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.​

Answers

2:1 means its by a factor of 1/2. Meaning you just use the original number and divide by 2. The answer is B

In the equation -3x - 9.6 = 20, what is the coefficient?


A. 20

B. -9.6

C. -3

D. -3x

Answers

Answer:

x=-3

Step-by-step explanation:

An office spends $375.00 per month on office supplies.
The manager wants the company to decrease office
supply costs by 16%. How much money would that save
each month?

Answers

Answer:

$51 saved.

Step-by-step explanation:

Well 12% of $425 is found by multiplying

(.12)(425) = $51 saved.

How is 7.54÷4= 1.88

I got 1.88 with the remainder of 2​

Answers

Answer:

I got 1.885 for the answer.

Maybe they wanted it rounded to just 2 decimal places.

Step-by-step explanation:

Answer:

7 .54/4=1.88

Step-by-step explanation:

  In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

find the answer?
35-y=21

Answers

The answer is “14” because 14 will represent the Y, so if you do 35-14 the answer will be 21.

how is 3×3×3×3×3×3×3 written in exponential form​

Answers

Answer:

7

Step-by-step explanation:

3 * 3 * 3 * 3 * 3 * 3 * 3 = [tex]3^{7}[/tex]

Answer:

3×3×3×3×3×3×3 is

Step-by-step explanation:

3 multiplied by itself 7 times will give you 3 to the 7th power.

Determine which postulate or theorem can be used to prove that
ΔSEA= ΔΡΕΝ.

Answers

Answer:

ASA

Step-by-step explanation:

ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.

Katsuro ran 3 1/6 miles each day for 7 days. How far did he run in all?

Answers

Answer:

22 1/6

Step-by-step explanation:

Answer:

22 1/6

Step-by-step explanation:

Katsuro ran 3 1/6 each day for 7 days straight how far did he run in all? ANSWERS:

10 1/6 miles

10 1/2 miles

22 1/6

44 1/3

what is the area of a rectangular field that has length of 2/3 of Mile and 3/4 of a mile​

Answers

Answer:

2/3*3/4 = 1/2

Step-by-step explanation:

-6y -8 = -18
can anyone solve this

Answers

Answer:

-6y -8 = -18

18-8=6y

10=6y

y=10/6=5/3

Answer:

-6y - 8 = -18

     + 8    +8

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

-6y = -10

-----    -----

-6       -6

10 divided by 6 is 5/3

so y is 5/3

QUESTION 4
Let
et f(x)=
(2x+5,
if x<1
-3x+1, if x 1
Determine the value for f(3).
0-8
0 -12
O 16
O 3
O 11

Answers

Answer:

[tex]f(3) =-8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x + 5; x<1[/tex]

[tex]f(x) =-3x + 1; x >1[/tex]

Required

Determine f(3)

f(3) implies that x = 3.

We make use of

[tex]f(x) =-3x + 1[/tex]

Because x >1 (i.e. 3 > 1)

Substitute 3 for x in f(x) =-3x + 1

[tex]f(3) =-3*3 + 1[/tex]

[tex]f(3) =-9 + 1[/tex]

[tex]f(3) =-8[/tex]

Which of the following best describes why the Hours of Service Regulations were put into place?
To minimize the number of vehicles on the road at night
To reduce the number of accidents caused by fatigue
To protect the rights of shippers

Answers

Answer:

To reduce the number of accidents caused by fatigue

Step-by-step explanation:

I don't know if its right

Help ASAP I’ll mark brainliest

Answers

Answer:

a

Step-by-step explanation:

a is positive

b is idek just scattered

c is a scattered correlation aswell

d is a negative correlation

15. Which of the following sets of quantum numbers are allowed

a) n=1, 1 = 0 and m=0

c) n=1,1=0 and m = +1

b) n=2, 1 = 2 and m =+ 1

d) n = 2, 1= 2 and m = 0​

Answers

Answer:

I'm not exactly sure but its 3 am here so it might be wrong but ima go with d

if log x (8x-3) - logx 4=2 the value of x is ___ and ____


the answer is not 1/2 and 3/2. I've already tried that and it is wrong.

Answers

x=1/2 and 3/2 do on paper. Have you tried entering them as 0.5 and 1.5?.
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