A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .

What is the minimum unit cost?

Answers

Answer 1

Answer:

$11988

Step-by-step explanation:

Given that,

The unit cost is given by :

[tex]C(x)=0.7x^2-462x+88218[/tex]

We need to find the minimum unit cost.

For minimum cost,

Put [tex]\dfrac{dC}{dx}=0[/tex]

So,

[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]

Put x = 330 in equation (1).

[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]

So, the minimum unit cost is equal to $11988.


Related Questions

PLEASE HELp ME U GET ALOT OF POINTS 97points
circumference and Area of circles
7. Demi measured the wheels on her brother's wagon. The diameter of each
wheel is 15 inches. To the nearest inch, how far will the wagon travel each
time the wheels make a complete turn?

8.The radius of circle A is 6 ft. The diameter of circle B is 6 ft. To the nearest
foot, how much greater is the circumference of circle A as compared to the circumference of circle B?
9. The larger circle in the design at the right has a radius of 40 in.
What is the area of the shaded part of the design?
30 in.
10. Max knows that the circumference of a circular pool is 12 ft.
He estimates that the diameter of the pool is between 3 ft and 4 ft. Is this reasonable? Explain.

Answers

Answer:

#7

C = πd = 3.14*15 in = 47 in (rounded)

#8

C₁ = 2πr = 2*3..14*6 ft = 37.68 ftC₂ = πd = 3.14*6 ft = 18.84 ft

The difference:

C₁ - C₂ = 37.68 - 18.84 = 19 ft (rounded)

#9

No picture attached

#10

C = 12 ftd = C/πd = 12/3.14 = 3.82 ft3 ft < 3.82 ft < 4 ft

Max is right

Find the volume (in cubic feet) of a rectangular moving van with length 12 feet, width 6 feet, and height 6 feet.

Answers

Answer:

Step-by-step explanation:

V = L * W * H

L = 12

W = 6

H = 6

Volume = 12 * 6 * 6

Volume = 432 cubic feet

Answer:

432 cubic feet

Step-by-step explanation:

To find the volume of a retangular prism or a rectangle you use L x W x H so that would be 12 x 6 x 6 which is 432. So the volume is 432 cubic feet

THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! <33

Answers

Answer:

50.24in²

Step-by-step explanation:

Formula: πr²

Given: π = 3.14, r = 4

Sub: 3.14(4)²

SImplify: 3.14(16)

Solve: 50.24

If the initial point of a vector is (6, −5) and the terminal point is (2, −3), find the components of the vector. A) <−4, −8> B) <−4, 2> C) <4, −2> D) <4, 2>

Answers

Answer:

i honestly dont know this but im guessing its about 12th grade work.

Select the values that are solutions of the inequality X 3<4.

X=4
X=8
X= 12
X= 16
X= 20
X= 24

Answers

Answer:

x=12 if you divide you'll get 4

expand and simplify 2(3a-5b)+4(a+2b)

Answers

Answer:

[tex]10a - 2b[/tex]

That is the answer

The answer is 10a-2b

Will give brainliest for correct answer

Answers

Answer:

4 = function

5 = function

6 = not a function

Step-by-step explanation:

The first two pass the vertical line test

while the last ne doesn't

At a casino, people line up to pay $20 each to be a contestant in the follow- ing game: The contestant flips a fair coin repeatedly. If she flips heads 20 times in 20 mil a row, she walks away with lion dollars; otherwise she walks away with R 0 dollars
(a) Find the PMF of R, the reward earned by the contestant.
(b) The casino counts "losing contestants who fail to win the 20 million dollar prize. Let L equal the number of los- ing contestants before the first winning contestant. What is the PMF of L?
(c) Why does the casino offer this game?

Answers

Answer:

a)

P ( R = 20 million ) = 0.00000095367

P ( R = 0 million )  i.e. not winning = 0.99999904633

b)  P ( L ) = ( 1 - p )^l  * p

C)The casino offer the game because  the expected revenue exceeds the winning

Step-by-step explanation:

P( winning ) = P ( getting 20heads in a row ) = 0.5^20 = 0.00000095367

a)  PMF of R

P ( R = 20 million ) = 0.00000095367

P ( R = 0 million )  i.e. not winning = 0.99999904633

b) what is the PMF of L

L = number of loosing clients before winning

P( L = 0 ) = P   i.e. if first contestant wins, if the second contestant win, L=1 repeat same process continuously

P ( L = 2 ) = ( 1 - p)^2 p

Hence the PMF of L  

P ( L ) = ( 1 - p )^l  * p     where p = 0.5^20

C) The casino offer the game because  the expected revenue exceeds the winning

we can prove this using  the relation below

E( L ) =  ( 1 - P ) / 1 - ( 1 - P )

        = 1 / P - 1

where  p = 0.00000095367  ( probability of winning )

Hence E ( L ) = 1048575

hence expected revenue before someone wins

= (1048575 + 1 ) * 20 = $20,971,520

Which of the following scenarios shows a value of 0.4? Select all that apply.

A.
Jesse sold 40 out of 60 items at a garage sale.

B.
Jesse rode 4 out of 10 miles on his bike.

C.
Jesse finished 40 out of 100 math problems.

D.
Jesse ate 4 out of 100 jellybeans.

E.
Jesse returned 4 out of 8 library books.

Answers

Answer:

D and B

Step-by-step explanation:

The scenarios which gives a value of 0.4 is depicted by the equations B and C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

a)

Jesse rode 4 out of 10 miles on his bike.

So , the fraction is A = 4/10 = 0.4

b)

Jesse finished 40 out of 100 math problems.

So , the fraction is A = 40/100 = 0.4

Hence , the equation is A = 0.4

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The diagram shows three forces being applied to a crate on a floor. If the crate is to remain stationary, what amount of force must be applied for z?

Answers

Answer:

800 N

Step-by-step explanation:

I don’t know I just submitted it and that was the answer

Someone please answer this corectly!!

Answers

Answer:

I think the answer would be

8 < Rad 70 < 9

Step-by-step explanation:

Hope it was correct & helpful ^__^ .

This sphere has a radius of 3 cm. What is the surface area of the sphere?

Answers

Hope this helps! Mark brainly please!

The required surface area of the sphere is given as 113.1 cm².

Given that,
This sphere has a radius of 3 cm. The surface area of the sphere is to be determined.

What is surface area?

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The surface area of the sphere is given as,
The surface area of the sphere = 4πr²
                                                = 4 × 3.14 × 3²
                                                ≈ 113.1

Thus, the required surface area of the sphere is given as 113.1 cm².

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Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded

daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%

compounded continuously. After 16 years, how much more money would Madeline

have in her account than Alexandra, to the nearest dollar?

Answers

Exact answer: 165.5754

Rounded to the nearest dollar: 166

7. Construct Arguments Harriet says that it
is not possible to draw a quadrilateral that
is not a trapezoid and not a parallelogram.
Is Harriet correct? Explain why or why not.

Answers

Answer:

She is not correct because trapezoid and parallelogram are not the only type of Quadrilaterals.

Step-by-step explanation:

Quadrilaterals are basically 4 sided shapes. Examples include Square, rectangle, rhombus, parallelogram, trapezoid, kite e.t.c.

Now, Harriet is saying that it

is not possible to draw a quadrilateral that is not a trapezoid and not a parallelogram. This statement is wrong because aside trapezoid and parallelogram, I have listed other types of Quadrilaterals above that can be drawn.

what is more 7921 ft or 3 / 2 miles​

Answers

Answer:

7,921

Step-by-step explanation:

If you get a calculator and put in 3 divided by 2, you will get 1.5 which is less than 7,921, by 7,919.5.

Someone please help me! Write the equation in standard form!

Answers

Answer:

x^2+y^2=6^2

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius of the circle.

We can see the center is on 0,0, and the radius is 6, so our equation is

(x-0)^2+(y-0)^2=6^2

or

x^2+y^2=6^2

Answer:

[tex] x ^2 + y^2 = 36 [/tex]

Step-by-step explanation:

Center of the circle (h, k) =(0, 0)

Radius of the circle (r) = 6 units

Equation of circle in center radius form is given as:

[tex] (x-h) ^2 + (y-k) ^2 = r^2 [/tex]

[tex] (x-0) ^2 + (y-0) ^2 = (6)^2 [/tex]

[tex] x ^2 + y^2 = 36 [/tex]

You bought a magazine for $3 and some
candy bars for $5 each. You spent a total
of $28. How many candy bars did you
buy

Answers

Answer: you bought 5 candy bars

Step-by-step explanation:

total is 28 you subtract 3 for the magazine you bought & end up with 25 dollars & each candy bar is 5 so you divide the 25 by 5 & end up with 5

What is the value of log625^5?
О-4
O -1/4
O1/4
O4

Answers

Answer:

3rd option, 1/4

Step-by-step explanation:

decimal form is 0.25

Which equation shows y = (x − 4)2− 3 written in standard form?

Answers

Answer:

2 x − y = 11

Step-by-step explanation:

X 3.5.PS-12
Question Help
A department store buys 400 shirts at a cost of $9,600 and sells them at a selling price of $30 each.
Find the percent markup.
The percent markup is
%. (Round to the nearest whole number as needed.)​

Answers

Answer:

The percent markup is 25%.

Step-by-step explanation:

Percent markup:

The percent markup is given by the difference in selling price and buying price multiplied by 100% and divided by the buying price.

A department store buys 400 shirts at a cost of $9,600

This means that the buying price is:

$9600/400 = $24

Find the percent markup.

Buying price: $24

Selling price: $30

30 - 24 = 6

6*100%/24 = 25%

The percent markup is 25%.

Corresponding Angles are congruent.
Which angle corresponds with <3?

Answers

Answer: Angle 8 corresponds with Angle 3


20, 10, 40, 10, 60, 20, 80, 60,
100, 240, 120, ______,_____

Answers

Answer:

1200, 140

Step-by-step explanation:

for easier: (20), 10, (40), 10, (60), 20, (80), 60, (100), 240, (120), 1200, (140)

numbers already (), add 20 per number

=== so (20, 40, 60, 80, 100, 120, answer 140)

numbers that are not turned () are 10x1x2x3x4x5

=== so 10, 10, 20, 60, 240, 1200

Answer:

2400, 140

Step-by-step explanation:

Hope it helps :)

find the missing length?

Answers

Answer:

16

Step-by-step explanation:

If triangle GFE is similar to triangle RST, using the similarity theorem

RS/RT = GF/EF

Using pythagoras theorem;

RT² = 10² - 6²

RT² =100 - 36

RT² = 64

RT = √64

RT = 8

Recall that RS/RT = GF/EF

10/8 = 20/EF

Cross multiply

10EF = 8 * 20

10EF = 160

EF = 160/10

EF = 16

Hence the missing length is 16

Question: Explain the Difference between an equation and an expression

Answers

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Which of the following scenarios is best represented by the scatter plot above?

Answers

Answer: B

Step-by-step explanation:

negative correlation so as x increases y decreases,

as population rises houses should rise, not A

as buildings rise, need more space and less trees, B is the answer

as cars rise population should rise, not C

no correlation, not D

I really need help with this stadistic problem

Answers

Answer:

the mean is 5.8 and the median is 6

Step-by-step explanation:

if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8

for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median

Lu is graphing the ordered pair (3, 5). Starting at the origin, what does she need to do?

Answers

Lu needs to move the right 3 units and up 5 units.

Answer:  

Lu needs to move the right 3 units and up 5 units.

Step-by-step explanation:

d = 8.1h
The variable h represents the number of hours spent walking dogs, and the variable d
represents the amount of money earned. How many hours in all will it take Janelle to earn a
total of $19.44?

Answers

Answer:

2.4 hours or 2 hours, 24 minutes

Step-by-step explanation:

19.44 = 8.1h

h = 2.4

Maryam has a coupon for 33% off her entire meal of 232.88 what is the discount.
help!

Answers

Answer:

$156.03

Step-by-step explanation:

33% = 33/100 = 0.33

First, multiply the total cost with 0.33:

232.88 x 0.33 = ~76.85 (round).

Subtract 76.85 from the original cost ($232.88):

232.88 - 76.85 = 156.03

Maryam's meal will cost $156.03 after the discount.

~

A sales manager wanted to determine if increasing sales commissions by 5% would increase employee satisfaction. Her analyst determined the p-value was 0.04. (Use α = 0.05.)

Based on the above output, what is the correct conclusion for the Wilcoxon Signed Rank Test?

a. We do not have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
b. We do not have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.
c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.
d. We have evidence that there is a difference in sample median employee satisfaction rating before and after the commission change.

Answers

Answer:

c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

Step-by-step explanation:

Pvalue is less than the alpha-level:

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

The given parameters are:

[tex]\mathbf{p = 0.04}[/tex] --- the p-value

[tex]\mathbf{\alpha = 0.05}[/tex] --- the significance value or the alpha level

From the options, we understand that the test parameter is the population median

By comparison, the p-value (0.04) is less than the alpha level (0.05)

When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.

Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.

Hence, option (c) is correct

Read more about hypothesis testing at:

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