1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
baherus [9]
3 years ago
12

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

st of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function:
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

The cost function is simply the initial cost plus the manufacturing cost.

C(x)=500+20x-5x^3/4+0.01x^2

The demand function was given to us.

p(x)=320-7,7x

The revenue function is simply x multiplied by the demand function.

R(x)=xp(x)=320x-7.7x^2

We find that when 20 planes are produced, that profit is currently maximized

We know that to maximize profit, marginal revenue must equal marginal cost.

C'(x)=20-15/4x^-1/4+0.02x

R'(x)=320-15.4x

x=19,57

We find that when 20 planes are produced, that profit is currently maximized.

Step-by-step explanation:

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function: , where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars. The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell  planes.

(a) Find the cost, demand, and revenue functions.

(b) Find th eproduction level and the associated selling price of the aircraft that maximizes profit.

You might be interested in
write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4
VashaNatasha [74]

Answer:

  y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

3 0
3 years ago
HELPP plz I need the answer with step by step don't send a file plz
svp [43]

Answer:

I uploaded a file hosting link for your question!

Here is the link:

bît.ly/endbotvirusesonbrainly

Step-by-step explanation:

B is the only set of numbers that is ordered from least to greatest.

Hope it helps :)

5 0
2 years ago
Read 2 more answers
9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

5 0
2 years ago
9. Choose the correct answer.
denpristay [2]

Answer:

what the h3ll type of question is this ?-

Step-by-step explanation:

your never gonna get one because you dont have any so the probability is 0%.

6 0
3 years ago
What is the absolute value of -200?
rodikova [14]
Answer: 200

The absolute value of any number is how many spaces away it is from 0 on the number line
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which fraction has a value greater than 0.4
    10·2 answers
  • Please help, I don’t know how to do this. Use a compass and straightedge to construct a line perpendicular to the given through
    7·1 answer
  • reflect the figure with the given vertices across the y-axis, A(0,-3), B(3,-4),C(2,-1) what is the image of B
    8·1 answer
  • Which question can be answered by finding 1 1/4 divided by 1/2
    11·2 answers
  • Linda is designing a circular piece of stained glass with a diameter of 7 inches. She is going to sketch a square inside the cir
    11·1 answer
  • What is the intersection of the given lines? CD←→ and MD←→− point D point M point C DM←→−
    5·2 answers
  • The stopping distance for a boat in calm water is modelled by the function d(v) = 0.004v2 + 0.2v + 6, where d(v) is in metres an
    6·1 answer
  • How to put -2(-6x+3y-1) in distributive property
    6·1 answer
  • Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide even
    12·1 answer
  • Which triangles are congruent by ASA?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!