Answer:
[tex](a)[/tex] [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] [tex]x=82 \text{planes}[/tex]
[tex](c)[/tex] [tex]p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] maximum profit [tex]=\$ 15.90M[/tex]
Step-by-step explanation:
Given that,
The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.
The additional cost of manufacturing each plane can be modelled by the function.
[tex]m(x)=20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex](a)[/tex] Find the cost, demand (or price), and revenue functions.
[tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] Find the production level that maximizes profit.
[tex]f=R(x)-C(x)[/tex]
[tex]\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)[/tex]
[tex]\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx[/tex]
[tex]x=320-7.7p[/tex]
[tex]p=\frac{320-x}{7.7}[/tex]
[tex]\frac{dp}{dx} = \frac{-1}{7.7}[/tex]
[tex]\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0[/tex]
[tex]\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0[/tex]
[tex]\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0[/tex]
[tex]\Rightarrow x=82 \text{planes}[/tex]
[tex](c)[/tex] Find the associated selling price of the aircraft that maximizes profit.
[tex]p=\frac{320-82}{7.7}[/tex]
[tex]\Rightarrow p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] Find the maximum profit.
Manufacturing cost of one plane is:
[tex]m(1)=20-5+0.01[/tex]
[tex]=\$15.01 M[/tex]
maximum profit [tex]=\$(30.91-15.01)M[/tex]
[tex]=\$15.90M[/tex]
x^2+5x-6 how do i factor this
Answer:
Step-by-step explanation:
you have to use the quadratic equation,
and we will get 2 roots,
x=1 and x=-6
(x-1)(x+6)
aight can someone help me lol
NEEED HELP QUICK PLS PLS pls pls pls .
Answer:
step 4 is correct because h-¹(x)=2x+5
At 1:00 P.M, you have 24 megabytes of a movie. At 1:15 P.M, you have 96 megabytes. What is the download rate in megabytes per minute?
A) 96 MB per minute
B) 4 MB per minute
C) 8.0 MB per minute
D) 4.8 MB per minute
9514 1404 393
Answer:
D) 4.8 MB per minute
Step-by-step explanation:
In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...
(72 MB)/(15 min) = 4.8 MB/min
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
You spent 9.5 hours playing Among Us
this week. This is 2.75 hours more than the
number of hours h you played last week.
Which equation can be used to find h?
A. 9.5=2.75-h B. 9.5= h+ 2.75 C. 2.75= h-9.5 D. 2.75= h+9.5
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Sally forgot to put her sneakers on before leaving to play at the park. She noticed right away that her feet were becoming very hot due to the pavement. Sally was experiencing the transfer of heat known as...
Answer:
conduction
Step-by-step explanation:
Radiation transfers heat to the pavement through empty space. Because the pavement is black, it absorbs more heat. ... Because the pavement is darker so it absorbs more heat.
4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
subtract 9 from y, then subtract 8 from the result
Answer:
(y - 9) - 8
Step-by-step explanation:
Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
Can someone solve this please and thank you
Answer:
Step-by-step explanation:
16
Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4
millimeters wide. What is the maximum number of cilia that would fit
side by side—without overlapping—across a microscope slide that is 25
millimeters wide? Write the answer in scientific notation.
A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105
C.8.0×102
that is my answer#study well:-)Use order of operations to solve:
14+15(5)-2^2
Answer: 95
Step-by-step explanation:
follow the order of operations P.E.M.D.A.S
First multiply 15 with 5 and you get 75. Next, 14+75=99
now for the last part 2^2 is 4
99-4=95
if it’s not 95 it’s 85
What would the function be for the following statement:
"y is 3 more than half of x"?
Answer:
0
Step-by-step explanation:
Work out surface area of this sphere give your answer in to 1 DP
Answer:
84.9
Step-by-step explanation:
SA: 4×pi×r^2
the radius is the line (2.6cm)
do this worksheet if someone do I will make him or her brainly if correct
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
Which expressions have a quotient of 3/4?
Answer:
Step-by-step explanation:
When you divide one number by another, the result is called the quotient.
So, We need more then one number fraction.
I hope this kinda helped.
Answer:
Step-by-step explanation:
Sorry I have no idea i just need points
Consider the line y = 7x-3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Gradient of parallel line= 7
Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
[tex] = - \frac{1}{7} [/tex]
Hello! :)
Parallel lines have the same slope.
If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.
Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:
[tex]7\\-7\\-\frac{1}{7}[/tex]
Hope it helps. Feel free to ask me if you have any questions.
~A determined teen
[tex]MagicalNature[/tex]
Select the correct answer.
g
If g = 8, what is the value of the expression 2+3?
?
ОА. В
O B. (11)
OC. 7
O D.
19
Answer:
A. 8/5
Step-by-step explanation:
first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A
Answer:
a
Step-by-step explanation:
g/2+3
g=8
8/2+3
2+3=5
g/2+3=8/5
Find the value of the power by completing the statements.
94
The base is
.
The exponent is
.
Its expanded form is
.
The value of 94 is
.
Answer:
Step-by-step explanation:
The base is 9
The exponent is 4
The expanded form is 9x9x9x9
The value of 9 to the fourth is 6,561
Answer:
The base is ✔ 9
The exponent is ✔ 4
Its expanded form is ✔ 9 x 9 x 9 x 9
The value of 94 is ✔ 6,561
Step-by-step explanation: Got it right on Edge.
Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers
Answer:
In four minutes Heather can ring up 52 maybe even 53 customers.
Step-by-step explanation:
To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)
A car travels 45 miles on 1 gallon of gas. the car uses 10 gallons of gas how many miles it does travel.
Answer:
450 miles
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
45 miles for 1 gallon
Every gallon is 45 miles
This is the equation: 45 x G (gallon)
45 x 10 Gallons is 450
Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?
Answer:
Now to secrtly stalk this man
Step-by-step explanation:
They have used after 5 days, 1 full box and 1/4 of another box.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given that, Each day, a company used 2 / 8 of a box of paper.
They are using 1/4 box of paper each day,
So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4
Hence, They have used after 5 days, 1 full box and 1/4 of another box.
For more references on fraction, click;
https://brainly.com/question/10354322
#SPJ2
an equation that is perpendicular to x-3y=3 and pases through the point (5,-9) in slope-intercept form
Answer:
y = - 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 3y = 3 ( subtract x from both sides )
- 3y = - x + 3 ( divide all terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (5, - 9) into the partial equation
- 9 = - 15 + c ⇒ c = - 9 + 15 = 6
y = - 3x + 6 ← equation of perpendicular line
PLEASEEEEEE HELPPPPPPP
What types of jobs were Deaf people frequently hired for during the wars?
health care
part time
construction
factory
Answer:
Factory
Step-by-step explanation:
Answer:
factory
Step-by-step explanation:
Which of the following describes
how the graph of f(x) = x2 is
translated to the graph of
g(x) = (x + 8)27
A. left 8 units
B. right 8 units
C. up 8 units
D. down 8 units
The correct translation will be;
⇒ left 8 units
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The function is,
⇒ f (x) = x²
And, The graph after translation is,
⇒ g (x) = (x + 8)²
Now,
Since, The graph after translation is,
⇒ g (x) = (x + 8)²
And, The function is,
⇒ f (x) = x²
So, We can say that the translation used is,
⇒ left 8 units.
Thus, The correct translation is;
⇒ left 8 units
Learn more about the translation visit:
https://brainly.com/question/1046778
#SPJ2
AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B
Answer:
huh? im confused on the question
Step-by-step explanation:
!!
Answer: 3.76
Step-by-step explanation:
trust
15(d+7)=4(d-4)+11d answer?
Answer:
Step-by-step explanation:
Factor out to simplify:
15d+105=4d-16+11d
15d+105=15d-16
subtract 15d from both sides
105=-16
this means that there are no solutions for d
Philip wrote the following inequality on the board:
g> 15 Which value for g makes this statement true?
A. 17
B. 15
C. 13
D. 10
Answer:
A is the answer! (hope I wasn't too late)
2. 124 2. 1
tell what theroem you used in each class
Answer:
Vertical Angles Theorem
Step-by-step explanation:
I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.