An airline sells all tickets for a certain route at the same price. if it charges 250 dollars per ticket it sells 5000 tickets. for every 5 dollars the ticket price is reduced, an extra 500 tickets are sold. it costs the airline a hundred dollars to fly a person. what price will generate the greatest profit for the airline?

Answers

Answer 1

let's look at the demand quantity as a function of price. Th problem tells us that q(250)= 500
the rate of change of q is a constant, thus, q is a line whose slope is -500/5=-100 tickets/ dollar.
therefore we shall have:
q(p)=5000-100(p-250)=3000-100p

the revenue for each price will be:
r(p)=p×q(p)=p(30000-100p)

next we get the total cost which is:
100×q, where q is the number of people who will fly.
but q=30000-100p
hence
c(p)=100(30000-100p)

the profit will be:
Profit=revenue-cost
=r(p)-c(p)=p(30000-100p)-100(30000-100p)
this will be written in quadratic form as:
(p-100)(30000-p)
next we find p that maximizes the profit function
(p-100)(30000-p)=-p²+30100p-3000000
when you take the derivative of the above, the maximum point will be at p=200, this will give us the profit of:
p(200)=-200²+30100(200)-3000000=1000000

Answer 2

Answer:

Scenario II i.e. when the price of ticket is $[tex]$245[/tex] will generate the greatest profit for the airline

Step-by-step explanation:

Scenario I

[tex]5000[/tex] tickets are sold at $ [tex]250[/tex] per ticket

The total money earned by the flight agency is

Number of tickets x price of each tickets

[tex]= 5000 * 250\\[/tex]

[tex]= 1250000[/tex] dollars

Scenario II

The price of each ticket is reduced by $[tex]5[/tex]

The price of new ticket is

[tex]250 -5[/tex]

[tex]= 245[/tex] dollars

The new number of tickets sold after reducing the price is

[tex]5000+ 500\\[/tex]

[tex]5500[/tex]

The total money earned by the flight agency is

Number of tickets x price of each tickets

[tex]5500 * 245\\[/tex]

[tex]1347500[/tex] dollars

Scenario II i.e. when the price of ticket is $[tex]$245[/tex] will generate the greatest profit for the airline

Related Questions

Find the general solution of the differential equation y'' - 2y' - 3y = -3te^(-t)

Answers

Consider this solution. Pls, make a design according the local requirements.

how many subsets of at least one element does a set of six elements have

Answers

The number of subsets of n elemnets = 2^n
but this also includes a null set, because a null set is a subset of every set

So in our problem = 2^6 -1 = 63 subsets
Choice B

Answer: The required number of subsets is 63.

Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.

We know that

the number of subsets of a set having n elements is given by

[tex]N=2^n.[/tex]

So, the number of subsets of the set having six elements will be

[tex]N=2^6=64.[/tex]

Since there is only one subset of every set that contains less than one element (that is the empty set), so

the number of subsets of the set with at least one element is given by

[tex]N-1=64-1=63.[/tex]

Thus, the required number of subsets is 63.

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answers

well, assuming is not inches, and instead is ln(x).

[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]

Answer:

[tex]x=7.39[/tex]

Step-by-step explanation:

we are given equation as

[tex]6+ln(x)=8[/tex]

Since, we have to solve for x

so, we will isolate x on anyone side

Firstly, we will subtract both sides by 6

[tex]6+ln(x)-6=8-6[/tex]

[tex]ln(x)=2[/tex]

now, we can take exponent of e on both sides

[tex]e^{ln(x)}=e^2[/tex]

now, we can use property of log

and we get

[tex]e^{ln(a)}=a[/tex]

we can use it

[tex]x=e^2[/tex]

So, solution is

[tex]x=7.39[/tex]

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?

Answers

Note that (a+b)^2 = a^2 + 2ab + b^2. This is always true.

Let's re-write the given "ab = 8 and a^2+b^2=16" as
a^2 + 2ab + b^2 = 16 + 2ab, or, equivalently, as
(a+b)^2 = 16 + 2(8) = 32.
This is the answer we wanted.

PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.

Answers

THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺

Answer:

Step-by-step explanation:

After a concert for 1,600 people, only 4 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again?

Answers

The answer you are looking for is 0.25%.

To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.

I hope this helps!

Answer:

0.25 percent

Step-by-step explanation:

Anyone know the right answer?

Answers

Begin by understanding the word "per"

Whatever follows per is on the denominator of the fraction

So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.

what is the answer to 3 (k-2)-6=4k-(3k-1)

Answers

Eliminate parentheses.
3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?

Answers

8 because 2^3 or 2 x 2 x 2 = 8

A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers

Answers

Make a proportion:

60 km/ 1 g = 240 km/ x

Cross multiply to find x.

60x = 240

x = 4 The bike would need 4 gallons of gasoline.

To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.

To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:

First, write down the given efficiency: 60 kilometers per gallon.

Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:

240 kilometers / 60 kilometers per gallon = 4 gallons.

Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.

A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon

Answers

First compute the probability of getting an orange marble.
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.

The probability is 0.2 that a person shopping at a certain store will

Answers

Your question is incomplete

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

The point-slope form can be simplified from the 2-point form.

y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form

_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4

Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13

Answers

we know that
the rule is
y=x+2
then
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 -------------------> y=0+2=2
for x=1 -------------------> y=1+2=3

for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9

the answer is
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3

Answer: the first set of data:

Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

Explanation:

Given functión y = x + 2

Choices:

1)
Input x     -3    -2    -1    0 1
Output y   -1 0     1     2    3

2)

Input x      3    4    5      6      7
Output y   5    7    9    11    13

Answer:

You just have to use the sets of input values and find the output values with the given function:

The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.

The first set of data fits the function because

x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3

That proves that the first set of data represents the given rule.

For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2

what is 5 1/2 × 2 1/3

Answers

Hello,

Here is your answer:

The proper answer to this question is "77/6".

Here is how:

First turn the mix numbers into fractions:

5 1/2=11/2
&
2 1/3=7/3

Now write the equation:

11*7=77
2*3=6

Your answer is 77/6!

If you need anymore help feel free to ask me!

Hope this help!

Find the next number sequence 192,96

Answers

the answer i think i is 192,961

The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.

Yes, they increased their score by 8%.

No, they increased their score by only 6%.

No, they increased their score by only 8%.

Description

Answers

no they only increased it by 6 precent

Yes, they reach the goal and increased their score by 9%.

What is percentage increase?

% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.

Given:

Last week game score=66

Next week game score= 72

Change in score= 72-66=6

So,

% increase= Change in score/original score *100

=6/66*100

=9.09 %

Hence, the score increase by 9.09%.

Learn more about percentage increase here:

https://brainly.com/question/20818421

#SPJ2

How many 10 person juries can be formed from 21 possible candidates???

Answers

The answer is 352,716.

This is a combination; out of 21 you are choosing 10:

[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]

Answer:

352,716 juries of 10 people can be formed from 21 possible candidates

Step-by-step explanation:

I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

10 people from a set of 21

[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]

352,716 10 person juries can be formed from 21 possible candidates

if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25

Answers

The selling price is 2.5 times the cost. If the cost goes up by 0.25, the selling price needs to go up by 2.5*0.25 = 0.63 in order to maintain the gross margin.

Please help me with this question

Answers

The area of 1/2 the hexagon is
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm

_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.

Give a description of a3/4 turn of the minute hand on a clock face

Answers

it's 9:00 because the clock only goes upto 12 and it well be 3/4 75% .so if 3*4 is 12 3*3=9

which represents the solution(s) of the equation x2=289?

a. x equals the square root of 17
b. x equals positive square root of 17
c. x equals negative square root of 289
d. x equals positive square root of 289

Answers

The answer is D, since when you simplify the equation, you would sqrt each side of the equation, making the answer be the positive square root of 289.

Hope this helps!

Answer:

The answer are the options C and D

x equals negative square root of [tex]289[/tex]

x equals positive square root of [tex]289[/tex]

Step-by-step explanation:

we have

[tex]x^{2} =289[/tex]

Take square root both sides

[tex]x=(+/-)\sqrt{289}[/tex]

therefore

the solutions are

[tex]x=+\sqrt{289}[/tex]

[tex]x=-\sqrt{289}[/tex]

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa

Answers

Daisy designs 30 cards
Lisa designs 12 cards

Difference in the number of cards
30 - 12 = 8

Daisy designs 8 cards more than Lisa.

Final answer:

To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.

Explanation:

To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.

Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.

Learn more about Designing cards here:

https://brainly.com/question/27796394

#SPJ12

Helppp experrts/ace/geniuses

Answers

the irrational number would be square root 9/27

The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?

Answers

9 and 29 would be your answer. Because there is a 20 difference in the two numbers and they equal 38 when added together. Hope this helps!

x= smaller number
x+20= larger number

Add the two numbers together and solve for x.

x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number

To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number

CHECK:
9 + 29= 38
38= 38

ANSWER: The smaller number is 9 and the larger number is 29

Hope this helps! :)

A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?

Answers

If the perimeter is 102 inches, the sum of length and width is half that, 51 inches. This sum is
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23

The length and width of the rectangle are 28 inches and 23 inches, respectively.

whats the equation of the line?

Answers

Is there an attachment? I can’t help.

Which is the most reasonable conjecture about the data shown in the scatter plot?

I think B? I'm not sure..

Answers

In this case, what you should notice is that there is an increase in salary according to years of experience.
Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
Answer:
people with more experience, have to earn higher salaries.
option B.

find (f*f)(3) f(x)=x^2-x

Answers

fof(x) = f(x^2 - x) = (x^2 - x)^2 - (x^2 - x)
f(3) = (9 - 3)^2 - (9 - 3)
f(3) = 6^2 - 6
f(3) = 36 - 6 = 30

I wouldn't want to bet the farm on this. If you get another answer that is reasonable, take it.

To find (f * f)(3) for the function f(x) = x² - x, we calculate f(3) to get 6, and then square it to get 36.

The question is asking to calculate (f * f)(3) given the function f(x) = x² - x. To do this, we find the value of f(x) for x=3 and then square that result. First, let's compute f(3).

f(3) = (3)² - (3) = 9 - 3 = 6.

Now, we find (f * f)(3), which means f(3) * f(3).

(f * f)(3) = f(3) * f(3) = 6 * 6 = 36.

Therefore, the solution to (f * f)(3) is 36.

Which of the following is a negation of the statement below?

All students like math.

Answers

in fact, i do not see the answer from the choices that i like, so i will let some one else answer All students do not like math. is wrong since all we need is one that does not like math i hope this helps you

Answer:

All students do not like math

Step-by-step explanation:

Because if it was 'No students do not like math' would mean 'all students like math'

Other Questions

What are the side lengths of the rectangle area 40 perimeter 26 A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided. If 2,000 people participated in the survey, people were satisfied with the career guidance. Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160 pages long. She uses the equation 38020d=160 to represent the number of days, d, it took her to read Part 1. How many days did it take Kim to read Part 1 of the book? A car rental agency charges $16.00 per day plus $.15 per mile. Jim's bill for 4 days was $79.00. How many miles did he drive? Which of these was particularly important in creating a large proletariat in britain in the 1700s? Suppose a population of 40 crickets doubles in size every month. the function gives the population after x months. how many crickets will there be after 3 years? You have been feeling very depressed for a long time.Which is the best step that you could take to help yourself? 1.give yourself time and the feeling might go away. 2. Share the feelings with a trusted friend. 3.keep to yourself and mull over your feelings You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your third side can be?@iGreen, 1. Complete each sentence below with the correct form of acostarse. A qu hora ______ t? 2. Complete each sentence below with the correct form of lavarse. T _______ en el bao.3.Complete each sentence below with the correct form of acostarse. La muchacha _____ despus de la emisin deportiva. 4. Complete each sentence below with the correct form of lavarse. Yo _____ el pelo. Which is correct? A) My friend Gina is a great swimmer; moreover, she's an excellent golfer, too. B) My friend Gina is a great swimmer, moreover; she's am excellent golfer, too. Please help, Picture included. Jason jumps from a plane at an altitude of 1000m. his parachute opens after 10 seconds. The graph shows the relationship between his altitude and time. How far does he fall in the first 40 seconds?A) 400mB) 500mC) 600mD) 700m 1. Could the number 0000 appear in a table of random digits? How likely is this? The provision of public education is at least in part an attempt to redistribute income by making sure that the poor have access to education.a. falseb. true Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. Jack makes a mosaic out of glass tiles. The mosaic covers a parallelogram-shaped piece of wood. The area of the wood piece is 456 in and its base is 24 inches. What is the height of the wood piece?Help I need this ASAP 99 points!!! is a way of writing poetry that appeals to the elements in the natural environment. how did britain seek to correct its balance of trade with china? A) trading only for silverB) selling opiumC) purchasing more teaD) closing all British ports to Chinese traders Ty borrowed $500 from his parents.The graph shows how much he owes them each month if he pays back a certain amount each amount each month. How long will it take Ty to pay back his parents? Which platform did Mr. Rays marketing team advise him to use for the launch of a new product? Mr. Ray is looking for a platform to launch his product. His marketing team advises him to launch the product via_____ as it is free advertising and improves_____.1. A. Newspapers A. Product Quality B.social Media B. Consumer Welfare C.Billboards C. Brand Reconition Which Middle Eastern nation was the center of the Islamic womens movement? IranTurkey SyriaEgypt Find x so that the slope of the roof is one third 1/3.