The tickets to a charity concert will sell out if the price is $15 per ticket. it is estimated that for each $1 increase in ticket's price, 20 tickets will remain unsold. what ticket price will maximize the charity's profit, if there are total 500 seats in the concert hall?
1. The tickets to a charity concert will sell out if the price is $15 per ticket. it is estimated that for each $1 increase in ticket's price, 20 tickets will remain unsold. what ticket price will maximize the charity's profit, if there are total 500 seats in the concert hall?
The tickets to a charity concert will sell out if the price is $15 per ticket. it is estimated that for each $1 increase in ticket's price, 20 tickets will remain unsold. what ticket price will maximize the charity's profit, if there are total 500 seats in the concert hall?
Number of tickets sold: 500
Income: 500 x 15= 7,500
----------------------------
If there is 1n dollar increase in ticket price, the income is:
I= (15 + n)(500- 20n)
I= 7500 - 300n + 500n - 20n^2
I= 500n - 300n - 20n^2 + 7500
I= - 20n^2 + 200n + 7500
---------------------
This function is a maximum when:
n^max= -b/2a
a= 20
b= 200
n^max= -b/2a
n^max= -200/2(20)
n^max= -200/40
n^max= 5
And:
I= - 20n^2 + 200n + 7500
I= - 20(5^2)+ 200(5) + 7500
I= - 20(25)+ 200(5) + 7500
I= - 500+ 1000 + 7500
I= 8000
-----------------------
With n=5 $1 increases in ticket price, the price that will maximize the profit is:
15+n= 15+ 5
15+n= 20
$20
The ticket price that will maximize the charity's profit, if there are total 500 seats in the concert hall is $20.
Learn more:
https://brainly.com/question/9440164
2. If the base price of a concert ticket is $30, and a handling surcharge of 15% is added to the price, what is the total cost of the ticket?
Answer:
$34.50
Step-by-step explanation:
To find the surcharge, we need to take $30 x 15% =$4.50
The question says that the surcharge is added to the base price. The base price is $30. So we take $30 + $4.50 =$34.50
So $34.50 is the total cost of the ticket.
3. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
Answer:
607 Concert tickets were sold.
Step-by-step explanation:
3386-2106 =1280
Adults
2106÷6= 351
Children
1280÷5 =256
Ticket sold
351+256=607
Answer:
607 total number of tickets sold for the concert
Step-by-step explanation:
3386 - 2106 = 1280
1280/5 = 256 tickets sold from children
2106/6 = 351 tickets sold from adults
256 + 351 = 607 total tickets sold
Hope it helps.
Correct me if I'm wrong.
4. The school is selling a 2 day tickets for a concert. On the first day, the school sold 3 outsider tickets and 1 insider ticket for a total of 38dollars. On the second day the school sold 3 outsider tickets and 2 insider tickets for a total of 52dollars. Find the price of one insider ticket and one outsider ticket. (Step by step)
Answer:
$22
Step-by-step explanation:
We start by define the two unknown variable x and y.
Define x and y:
Let x be the price of outsider ticket
Let y be the price of insider ticket
Now we form the 2 equations according to the description.
Form equations:
3x + 1y = 38 ------------------ [ 1 ]
3x + 2y = 52 ------------------ [ 2 ]
We see that equation [1 ] has 1y and equation [2] has 2y. We shall multiply equation [1 ] by 2 so that it also has 2y.
Multiply equation [ 1 ] by 2:
2(3x + 1y) = 2(38)
6x + 2y = 76
Now we have a new equation "6x + 2y = 76 " and we shall name it [ 1a ]
6x + 2y = 76 ------------------ [ 1a ]
Rewriting the two equations we have here:
Equations:
3x + 2y = 52 ------------------ [ 2 ]
6x + 2y = 76 ------------------ [ 1a ]
Both equation [ 2 ] and equation [ 1a ] have 2y, we subtract equation [2] from equation [1a] to eliminate the variable y:
Equation [2 ] - Equation [1a] :
(6x + 2y) - (3x + 2y) = 76 - 52
6x + 2y - 3x - 2y = 24
3x = 24
x = 8
So now we have found out that x is 8, we will substitute x = 8 into equation [1 ] (you can choose any equation you like here, they will give you the same answer)
Find y:
3x + 1y = 38
3(8) + y = 38
24 + y = 38
y = 14
Find the sum of 1x and 1y:
1x + 1y = 8 + 14 = $22
Answer: $22
This is a more detailed explanation of the solution found in:
https://brainly.ph/question/2070185#readmore
5. The year 2018 was a massive year for music and live events that brought foreign acts in the Philippines. In most of the concerts held in the country, Mall of Asia Arena served as an excellent venue because of its facilities and large seating capacity of 20,000. Historical data shows that when tickets for local performing artists are sold at P2889, average attendance has been 9500. A market survey also suggests that for every P1 decrease in the ticket price, the average attendance to local artist concert increases by 1000.a. Using function, model the revenue in terms of ticket priceb. Find the price that will generate the maximum revenue from ticket sales.C. Find the price that will encourage no one to attend the concerts.
Answer:
a the answer
Step-by-step explanation:
thats good
6. An investor buys a total of 360 tickets for concert. The price of adult ticket is $35 while the price for chidren's ticket is $45. The investor spends a total of $15000. How many tickets for adult and for children did he buy?
Answer:
3000 tickets for adult and 1000 for children
7. A concert arena has a seating capacity of 15,000. With the ticket price set at P14, average attendance at recent concert has been 9,500. A market survey indicates that for each peso the ticket price is lowered, the average attendance increases by 1,000. Let's Analyze! 1. Find a function that models the revenue in ticket price. 2. What is the general form of the quadratic function (#1)? 3. What ticket price is so high that no one attends, and hence no revenue is generated? 4. Find the price that maximizes revenue from the ticket sales.
Answer:
Sorry ito lang po ang nakopya ko
Answer:
OK YUNG SAGOT SA TAAS KOPYA NA LNG
8. How would the income effect of price change be demonstrated by a 100 pesos reduction in the price of tickets to concerts that resulted in a sell-out crowd? - applied economics
Explanation:
i'm sorry but i don't know the answer
9. Kyle wants to go to a big concert coming up. the original price of the ticket is $81, but with taxes and fees, the price goes up to $99.63. find the percent increase on the ticket price.?
Answer:
Write a two-sentence reflection about the importance of practicing 5Rs of waste management. I realized ___________________________. *
Step-by-step explanation:
Write a two-sentence reflection about the importance of practicing 5Rs of waste management. I understand______________________________. *
10. Sandra's school is selling ticket to a mini concert of the students. On the first day, of ticket sales, the school sold 12 adult tickets and 16 child tickets for a total of Php 336. The school took in Php 312 on the second day by selling 15 adult ticket and 11 child tickets. Find the price of a senior ticket and the price of a child ticket. pa help .
Answer:
the price of the ticket is 12
by adult and child
senior less 5% hehe
11. A convention hall a seating capacity of 2000. when the ticket price in the concert is php 200, attendance is 400 for each php 10 decrease in price attendance increase by 50. a. write the revenue, R of the theatee as a function of the concert ticket price in x. b.what ticket price will yield to maximum revenue? c.what is the maximum revenue?
Answer:
b any sagot poyung sagot pa brainliest
12. Answericercise: Solve the following problems1. A convention hall has a seating capacity of 2000. When the ticket price in the concert is Php 160,attendance is 500. For each Php 20 decrease in price, attendance is increases by 100.a. Write the revenue, R of the theater as function of concert ticket price xb. What ticket price will yield maximum revenue?c. What is the maximum revenue?
Answer:
a. Write the revenue, R of the theater as function of concert ticket price x
Step-by-step explanation:
i hope it helps
13. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
604 tickets in total
Step-by-step explanation:
2106÷6=351 tickets for adults
1280÷ 5=256 tickets for kids
351+256=604 tickets in total
14. The price P of concert tickets varies directly to how close The seats S are to the stage.
DIRECT VARIATION
EQUATION:
[tex]P = kS[/tex]where k is the constant of variation.
Learn more about direct variation:
https://brainly.ph/question/9031787
https://brainly.ph/question/8983316
#CarryOnLearning
15. The cost of a concert ticket last week was $60.00. This week a concert ticket is $75.00. What is the percent increase of the ticket from last week to this week?
Answer :
25%
Solution :t = 75 - 60 / (60)
t = 15 / 60
t = 0.25
t = 25%
16. THE CONCERT ARENA A concert arena has a seating capacity of 15,000. With the ticket price set at P14, average attendance at recent concert has been 9,500. A market survey indicates that for each peso the ticket price is lowered, the average attendance increases by 1,000.
Answer:
bb ka abbahwbwbwgevwvwv3v3v3v2v
17. The music club sold 120 tickets priced at 120.50 Pesos each for their concert. If their total expense is 5,895.78, how much is their profit?
Answer:
8,564.22
Step-by-step explanation:
120.50×120=14,460
14,460-5,895.78=8,564.22
Answer:
Php. 8594.22Step-by-step explanation:
[tex](120 \times 120.50) - 5865.78[/tex][tex]14460 - 5865.78 = Php. \: 8594.22[/tex]Php = pesos#CarryOnLearning
18. 2. The Mabuhay Hall has a seating capacity of 1000. when ticket price in concert is 200, attendance is 800. for each P 50.00 decrease in price. attendance increases by 50. a. write the revenue, R of the theater as a function of the concert ticket price x. b. What ticket price will yield maximum revenue? C. What is the maximum reve- nue?
Answer:
a. R=-x2+1,000xb. P. 500c. P. 250,00019. A local band sells out for their concert. They sell all 1,175 tickets for a total prize of $28,112.50. The tickets were priced at $20 for student tickets, $22.50 for children and $29 for adult tickets. If the band sold twice as many adult as children tickets. How many of each type was sold?
Step-by-step explanation:
FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiFTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiFTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]FTSM丨kakashiI want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous, [FFE4B5] Matches 500, Win Rate 90.5%[-]I want to use Aldous,[FFE4B5] Matches 500, Win Rate 90.5%[-]I
20. A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answer:
p - $14.50 = $53
Step-by-step explanation:
Let's say that, $14.50 less than the original price p — (p - $14.50) and the discounted ticket is $53
so we came to an equation which is, p - $14.50 = 53.
#CarryOnLearning
21. A concert arena has a seating capacity of 15,000. With the ticket price set at P14, average attendance at recent concert has been 9,500. A market survey indicates that for each peso the ticket price is lowered, the average attendance increases by 1,000. Let's Analyze! 1. Find a function that models the revenue in ticket price. 2. What is the general form of the quadratic function (#1)? 3. What ticket price is so high that no one attends, and hence no revenue is generated? 4. Find the price that maximizes revenue from the ticket sales.
Answer:
1. Write the revenue R of the theater as a function of concert ticket price x.
Step-by-step explanation:
that's all I know
22. For a concert 1485 were sold, having total value of Php 197 000. Some of the tickets were sold for 100 (x) and the rest for Php 200 (y) each. How many concert tickets were sold at each price?
Answer:
1000 tickets at ₱100 each
485 tickets at ₱200 each
Step-by-step explanation:
no. of x and y tickets sold:
x+y=1485, this will be your eq. 1
total value of tickets sold:
100x+200y=197000
simplifying,
x+2y=1970
x=1970-2y, substitute this to eq. 1
x+y=1485
(1970-2y)+y=1485
1970-y=1485
y=1970-1485
y=485
x=1970-2y
x=1970+2(485)
x=1000
23. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
Answer:
607
bawas lang then divide
24. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
Answer:
607 tickets
Step-by-step explanation:
2106= 351 adult ticket
1280= 256 children ticket
25. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
Answer:
607 tickets
Step-by-step explanation:
Given:
Adult ticket = $6
Children ticket = $5
Ticket sales = $3,386
Adult ticket sales = $2,106
$3,386 - $2,106 = $1,280
Children ticket sales = $1,280
Adult tickets sold
Adult ticket sales ÷ Adult ticket price
$2,106 ÷ $6 = 351 tickets
Children tickets sold
Children ticket sales ÷ Children ticket price
$1,280 ÷ $5 = 256 tickets
Total tickets sold
Adult ticket sold + Children ticket sold
351 tickets + 256 tickets = 607 tickets
26. if the price ticket is php3150.00 how much will be the total sales for one night concert if all seats are taken?
Answer:
2772000
Step-by-step explanation:
Answer:
It depends on the seats and the venue
27. Steven went to a concert with his family on weekends. The price for an adult ticket was $6. The price of a children ticket was $5. It was known that $3386 was collected from the sales of tickets. Out of the sales, $2106 was from adult tickets. What was the total number of tickets sold for the concert?
Answer:
of course 34
what does the fox say
Lilith
Lilith 2
moonlight garden
she's still look cute today
her shim sham yo
foot print Nina
unnie I like you
thanks me later HAHA
28. the price P of concert tickets varies directly to how close the seats S are to the stage
pls give us good question to answer if this is math
Answer:
DIRECT VARIATIONEQUATION:P=kSwhere k is the constant of variation.
Step-by-step explanation:
I Hope it Helps :)
29. The school is selling a 2 day tickets for a concert. On the first day, the school sold 3 outsider tickets and 1 insider ticket for a total of 38dollars. On the second day the school sold 3 outsider tickets and 2 insider tickets for a total of 52dollars. Find the price of one insider ticket and one outsider ticket.
The price of one insider ticket is 14 Dollars
while the outsider ticket is 8 Dollars
Answer:
$22
Step-by-step explanation:
Define x and y:
Let x be the price of outsider ticket
Let y be the price of insider ticket
Form equations:
3x + 1y = 38 ------------------ [ 1 ]
3x + 2y = 52 ------------------ [ 2 ]
Equation [ 1 ] x 2 :
6x + 2y = 76 ------------------ [ 1a ]
[1a] - [2]:
3x = 24
x = 8
Find y:
3x + 1y = 38
3(8) + y = 38
24 + y = 38
y = 38 - 24
y = 14
Find the price:
Price of outsider ticket = x = $8
Price of insider ticket = y = $14
Find the price of one insider ticket and one outsider ticket:
Total = 8 + 14 = $22
Answer: The price of one insider ticket and outsider ticket is $22
30. A conversation hall has a seating capacity of 2000. When the tickets price in the concert is php160, attendance is 500. For each php 20 decrease in price, attendance increases by 100.a. Write the revenue R of the theater as a function of concert ticket price x.b. What ticket price will yield maximum revenue?c. What is the maximum revenue?
Answer:
the correct answer is letter A. white the revenue R of the Theater as a function of concert ticket price x.
Step-by-step explanation:
i hope it helps
#CarryOnLearning