The total cost of production of spare parts of computer is given as C=4000x-100x²+x³ where x is the number of units of spare parts produced so that the average cost will be maximum?

Answers

Answer 1

Answer: 50

Step-by-step explanation:

Ok, we have the equation:

C=4000x-100x²+x³

Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.

Then we will not have a maximum, because as x →∞, C(x) →∞.

By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).

Then let's do that:

The total cost for making x pieces is:

C(x) = 4000x-100x²+x³

Then the average cost, or the cost per piece, will be:

F(x) = C(x)/x = 4000 - 100*x + x^2

Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.

To find the minimum, we must look at the zeros of the first derivation of F(x):

F'(x) = dF(x)/dx = -100 + 2*x

The zero is when:

F'(x) = 0 = -100 + 2*x

          100/2 = x

             50 = x

Then the number of x that minimizes the average cost is x = 50.


Related Questions

10 Lakh More Than 93,23,654​

Answers

Answer:

10,323,654

Step-by-step explanation:

Which expressions are equivalent to 4 • (7 • y)

Answers

Answer:

4(7)+4(y)

4(y·7)

4(3+4)+4(y)

Step-by-step explanation:

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{Which\ expressions\ are\ equivalent\ to\ 4\times(7\times y)?}[/tex]

[tex]\downarrow\textsf{Your steps on how to solve for your answer}[/tex]

[tex]\mathsf{4\times(7\times y)}\\\mathsf{7\times y=7y}\\\mathsf{4(7y)=28y}[/tex]                    

[tex]\boxed{\boxed{\huge{\text{{Thus your answer is: \boxed{\boxed{\huge\text{\bf{28y}}}}}}}}}\huge}\checkmark[/tex]

[tex]\textsf{We can flip the equation around and that can be another answer}[/tex]

[tex]\boxed{{\mathsf{(\bf{7\times y)\times4}}}} \checkmark[/tex]

[tex]\boxed{\mathsf{\bf{(4\times 7) y}}}\checkmark[/tex]

[tex]\mathsf{Thus, your\ answers\ are:\boxed{ \boxed{\bf{28y} ;\ \ (4\times 7) \timesy\times y; \ \& \ (7\times y) \times 4 }}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]      

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Evaluate (11 + 4) = 3 * ✓ 64​

Answers

Answer:

All of them are ø

Step-by-step explanation:

There are two answers to this problem:

(11 + 4) = 3 * 8

and

(11 + 4) = 3 * -8

Lets do (11 + 4) = 3 * 8 first: 15=24

So this first one is ø

Lets do (11 + 4) = 3 * -8: 15=-24

Which also ø

For what value of x do the expressions 5(2x-4) and 6x-8 have the same value

Answers

Answer:

3

Step-by-step explanation:

10x-20=6x-8

4x=12

x=3

What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3

Answers

Answer:

a7 equals 35 +3=38

Step-by-step explanation:

5times7 is 35

u sub 7 for n

What are the coordinates of its image, J'K'L, if this
triangle is dilated by a factor of 5 with respect to the
origin?
J'(2,7),K (8,7), and L'(5, 1)
O J'(-5, 2), K (5,2), and L'(0, -5)
J'(-3, 2), K (8, 2), and L'(0, -9)
J'(-15, 10), K (15, 10), and L'(0, -20)

Answers

Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

evaluate (2^-5)(2^2)(4^3) / 2

Answers

Answer: 4

Step-by-step explanation:

\dfrac12\left(6e - 3f - \dfrac34\right) = 2 1 ​ (6e−3f− 4 3 ​ )=start fraction, 1, divided by, 2, end fraction, left parenthesis, 6, e, minus, 3, f, minus, start fraction, 3, divided by, 4, end fraction, right parenthesis, equals

Answers

Answer:

could u write the equation instead so i can answer

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

khan

30% of the toys collected at the holiday toy drive were stuffed animals. There were a total of 80 toys collected. How many toys were stuffed animals?

Answers

Answer:

24 toys

Step-by-step explanation:

line up your numbers by the type of unit they have :

80 toys represent  100% of the toys

  ? toys represent  30% that are stuffed animals

Cross-multiply

?*100 = 30*80

divide both sides by 100

?= 30*80/100= 24

56 were stuffed animals

Which system is the solution of the graph?

Answers

Answer:

2

Step-by-step explanation:

jose trabaja 4 3/4 horas el lunes, 3 1/2 horas el martes, 6 3/4 horas el miercoles, 4 1/2 horas el jueves y 6 horas viernes, y 5 horas el sabado en promedio cuantas horas diarias trabaja​

Answers

Answer:

5 horas

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =

( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia

System Applications-idk what that means but the question is that and there are no answer choices. There are 22 students in a classroom. There are 12 more girls than boys. Find the number of boys
and girls in the classroom.
I’ll mark you as the brainliest for the correct answer thanks

Answers

Answer:

random

Step-by-step explanation:

. "A number is less than or equal to -11.".

Answers

Answer:

x <(with a line underneath the carrot) -11

Step-by-step explanation:

Hope this helps! Could not find the symbol.

The inequality for x which is less than or equal to -11 is written as x ≤ -11 or  x + 11 ≤ 0.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

Let the required number is x.

In the given question,

Number x is less than or equal to -11.

The inequality for x which is less than or equal to -11 can be written as,

x ≤ -11

The inequality can be further simplified as,

⇒x + 11 ≤ 0

The inequality for x is x + 11 ≤ 0.

To know more about Inequality on:

https://brainly.com/question/20383699

#SPJ2

If f(x) is a linear function, f(- 3) = - 3 , and f(5) = 4 , find an equation for f(x)

Answers

[tex]f(x)=mx+b[/tex]

[tex]f(-3)=-3[/tex] meaning that (-3,-3)

[tex]f(5)=4[/tex] meaning that (5,4)

(1 ) Find slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{4+3}{5+3}\\m=\frac{7}{8}[/tex]

The slope is 7/8

(2) Substitute any ordered pairs in the equation.

I'll use (5,4)

[tex]f(x) = \frac{7}{8}x+b\\4=\frac{7}{8}(5)+b\\4=\frac{35}{8}+b\\32=35+8b\\32-35=8b\\-3=8b\\-\frac{3}{8}=b\\b=-\frac{3}{8}[/tex]

Therefore the equation for f(x) is [tex]f(x)=\frac{7}{8}x-\frac{3}{8}[/tex]

72.05-29.69?????????????????

Answers

Answer:

42.36

Step-by-step explanation:

Big boi questions just use the caculator

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E

Answers

Answer:

let me get the answer

Step-by-step explanation:

For ​f(x) = [tex]\sqrt{x+5} -4[/tex]and ​g(x)​ = [tex]\sqrt{x+5} +4[/tex], find an equation of the given function.
(f+g)(x)=?
WILL GIVE BRAINLIEST!

Answers

Answer:

[tex]\\ (f+g)(x)=f(x)+g(x)=\sqrt{x+5}-4+\sqrt{x+5}+4=2\sqrt{x+5}[/tex]

-2(x + 6) = -36 .........

Answers

Answer:

x=12

Step-by-step explanation:

[tex] - 2x - 12 = - 36[/tex]

[tex] - 2x = - 36 + 12[/tex]

[tex] - 2x = - 24[/tex]

[tex]x = - 24 \div - 2[/tex]

[tex]x = 12[/tex]

Answer:

The answer is x=12

Step-by-step explanation:

-2(x+6)= -36

-2x+-12=-36

-2x+-12+12=-36+12

-2x=-24

Divide both sides by -2

-2x/2=-24/-2

x=12

If you help me I will help you by giving out brainlest and points 25 POINTS



RIP KING VON

Answers

Answer:

B. 0.25

Step-by-step explanation:

The probability of the coin landing on heads the first time is 1/2 since there are two sides. You would then multiply this by the 1/2 chance that you get heads on the second turn to get a probability of 1/4, or 0.25, that the coin will land on heads both times.

Answer: its A it's 50 to 50

Step-by-step explanation:

100 PONITS PLEASE HELP ME!!

Answers

Answer:

Your business partner is correct.

General Formulas and Concepts:

Stats - Correlations

Positive means that it is trending upwardsNegative means that is is trending downwards

Step-by-step explanation:

If we were to draw a best line of fit into the scatterplot, we would see that we would get a positive slope and a positive line.

That means the scatterplot will be increasing calories as we increase fat.

Therefore, we would have a positive correlation. The business partner is correct.

Answer:

Step-by-step explanation:

um

5y+1=31 what does y equal?

Answers

Answer:

y=6

Step-by-step explanation:

Agrocery store sells 4 avocados for $6.00. What is the unit cost of each avocado?
A) $2.40
B) $0.10
C $1.50
D
$0.60

Answers

$0.60
Just take 4 and try dividing by 6
$6.00 divided by 4 avocados = $1.50


Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians.

Answers

Answer:

Here we have four individual events.

First selection, second selection, third selection and fourth selection.

Where initially, the options are 16 Americans and 13 Canadians.

Now, to see if the events are dependent or independent.

Suppose that in the first selection, an American is selected.

Then the second selection has 15 Americans and 13 Canadians as options.

Now, if in the first selection, a Canadian is selected.

Then in the second selection, the options will be 16 Americans and 12 Canadians.

Then the events are not independent.

Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians

The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.

For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:

P1 = 13/29.

Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:

P2 = 12/28

with the same reasoning as above, the probabilities for the third and fourth selections will be:

P3 = 11/27

P4 = 10/26.

The joint probability will be equal to the product of the individual probabilities, this is:

P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03

-4(3/2x - 1/2) = -15

Answers

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

The longer piece of wood has dimensions of 2 inches by 2 inches by 7 inches. The shorter piece of wood has dimensions of 4 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?

Answers

Answer:

TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?

Step-by-step explanation:

Help! Will give brainliest!!

Answers

Answer:

1 no solution

2 5,1

3 7,-2

4  4,5

Step-by-step explanation:

a recipe that serves 8 people requires 4 1/2 cups of flour.
Suppose you need to make enough to serve 24 people. How many cups of flor do you need?

Answers

Well, if 8 people requires 4 1/2 cups of flour and 24 is three times 8 then you have to multiply 4 1/2 by 3. Hope this helps!

The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.

Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).

The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8

= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]

Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.

[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups

To learn more about ratios, please check: brainly.com/question/17995727

evaluate the following question 109*104​

Answers

Answer: Exact Form:

109^104

Decimal Form:

7.8046923 x 10^211

Step-by-step explanation:

Answer:

11336

Step-by-step explanation:

109*104= 11336

hdhdhdhdhdhdjudjdhdhsh

Find the slope of the line

Answers

Answer:

-3/2 I think

Step-by-step explanation:

rise over run

Answer:

slope = -3/2

Step-by-step explanation:

The line is down 3, right 2

If you want the entire equation it is y = -3/2x + 2

{ first 5 multiples of 12}​

Answers

Answer:

The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,…

Answer:
60

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