Which graph/graphs are proportional? Please hurry!

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

Ad libitum [116K]

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.

3 0

3 years ago

2. Mrs. Frederick is paid semimonthly.

Julli [10]

The annual salary of Mrs. Fredrick is $ 39397.2

Solution:

Given, Mrs. Frederick is paid semimonthly.

Her semi-monthly salary is $1.641.55.

Now, let us find her monthly salary first.

monthly salary = 2 x semi – monthly salary

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the annual salary = 12 x monthly salary

Annual salary = 12 x 3283.1 = $ 39397.2

Hence, the annual salary of Mrs. Fredrick is $ 39397.2

5 0

3 years ago

If yesterday's day after tomorrow is Sunday, what day is tomorrow's day before yesterday?

gizmo_the_mogwai [7]

Answer:

friday

Step-by-step explanation:

7 0

3 years ago

A group of n people enter an elevator in a building with k floors. Each person independently selects a floor uniformly at random

____ [38]

Answer:

Hence the person stop at floor by at least one person will be

E(X)=(summation from K=1 to k)[1-{(k-1)/k}^n]

Step-by-step explanation:

Given:

There are n peoples and k floors in a building.

Selects floor with 1/k probability .

To find :

Elevator stop at each floor by at least one person.

Solution:

Now

let K= number of floor at which at least one person will be stopping.

For getting E(X)

consider a variable Ak =1 if a least one person get of the elevator

and values for k=1,2,3.....k

K=(summation From k=1 to k)Ak

E(K)=((summation From k=1 to k) E[Ak]

=(summation From k=1 to k)[ $1-{(k-1/k)^n$

Hence the person stop at floor by at least one person will be

E(K)=(summation from K=1 to k)[1-{(k-1)/k}^n]

4 0

3 years ago

Color of car. a. Qualitative/Ordinal b. Qualitative/Nominal c. Quantitative/Discrete d. Quantitative/Continuous

Ymorist [56]

Colors are Qualitative and Nominal: Qualitative, because there is no number involved for "color" and Nominal, because their is no natural ordering for color

3 0

4 years ago