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
Sonja [21]
3 years ago
11

The average ticket price for a concert at the opera house was ​$50. The average attendance was 2500. When the ticket price was r

aised to ​$54​, attendance declined to an average of 2100 persons per performance. What should the ticket price be to maximize revenue for the opera​ house?
Business
1 answer:
Ber [7]3 years ago
6 0

Answer:

The price per ticket should be $37.5

Explanation:

First we need to determine the change in demand (attendance) as a result of every $1 increase in the price of ticket.

The ticket price increased by $4 (from 50 to 54) and the demand fell by 400 (from 2500 to 2100). The change per dollar is,  400 / 4 = 100.

So, for every $1 increase in price, demand falls by 100.

The revenue is calculated by multiplying price by quantity demanded. Revenue equation will be,

Let x be the change in price from $50.

Revenue = (50 + x)  * (2500 - 100x)

Revenue = 125000 - 5000x + 2500x - 100x²

Revenue = 125000 - 2500x - 100x²

To calculate the price that maximizes the revenue, we need to take the derivative of this equation.

d/dx = 0 - 1 * 2500x° - 2 * 100x

0 = -2500  -  200x

2500 = -200x

2500 / -200 = x

-12.5 = x

Price should be 50 - 12.5 = 37.5

At price $37.5 the revenue of the Opera House is maximized.

You might be interested in
Which of the following islare true using the specific, economic, definition
marissa [1.9K]

Answer:

II. A person is unemployed when they do not have a job, are able to work, and are actively looking for a job.

Explanation:

A person without a job must be actively looking for work to be counted as unemployed and willing/able to work. If not, then the person without a job is counted as being out of the labor force.

5 0
3 years ago
6. What does Rose argue should be the last part of a presentation to the VC? Why?
Lubov Fominskaja [6]

Rose argued that the last part of a presentation to the VC should be " a wrap-up that leads to the final pitch."

David S. Rose is a prominent angel investor famous for being the founder and Chairman Emeritus of New York Angels.

In one of his entrepreneurship discourses, Rose claimed that the last part of a presentation to the VC should be the overall presentation in a short form that would comprise the main points of the all-around presentation.

Rose concluded that these key points should be the reason to convince a Venture Capitalist to invest in the business.

Hence, in this case, it is concluded that the last part of a presentation is crucial to convince a Venture Capitalist.

Learn more here: brainly.com/question/23471689

6 0
3 years ago
Calculate the ending inventory of chemicals in gallons for December of the prior year, and for January and February. What is the
Annette [7]

The ending inventories of chemicals for each month are 36,135, 33,825 and 41,456 gallons. Also, the beginning inventory for January is 36,135 gallons.

<h3>The table for planned production.</h3>

In order to calculate the ending inventory of chemicals for the three months, we would create a table for planned production as follows:

<u>                                                 January         February          March___</u>

Units to be produced               43,800          41,000             50,250

<u>Direct materials per unit             5.5                5.5                    5.5 ___</u>

Total direct materials               240,900        225,500          276,375

Since the company's policy requires ending inventories of raw materials for each month to be 15% of the next month's production needs, we have:

December = 15/100 × 240,900 = 36,135 gallons.

January = 15/100 × 225,500 = 33,825 gallons.

February = 15/100 × 276,375 = 41,456 gallons.

March = Nil.

Also, the beginning inventory of chemicals for January is given by December's ending inventory of 36,135 gallons.

Read more on ending inventory here: brainly.com/question/25947903

#SPJ1

<u>Complete Question:</u>

Patrick Inc. makes industrial solvents sold in 5-gallon drum containers. Planned production in units for the first 3 months of the coming year is:

January 43,800

February 41,000

March 50,250

Each drum requires 5.5 gallons of chemicals and one plastic drum container. Company policy requires that ending inventories of raw materials for each month be 15% of the next month's production needs. That policy was met for the ending inventory of December in the prior year. The cost of one gallon of chemicals is $2.00. The cost of one drum is $1.60. Calculate the ending inventory of chemicals in gallons for December of the prior year, and for January and February. What is the beginning inventory of chemicals for January?

8 0
2 years ago
The new employees are expected to receive $13 million of Fast Start training that will be provided by a state workforce developm
Gwar [14]

Answer:

The correct answer is "key assumption"

Explanation:

In a business plan, the term key assumption refers to the sum of the plan, workforce, place, time and all the resources that you need to manage your business. Every business plan is filled with assumptions.

The objective is to identify is a project would be profitable or not,  

Usually, investors use the key assumptions, before they decide to put in money.

5 0
3 years ago
Assuming equivalent units of conversion costs is 7,000 units (note this is not the answer for the above question) at the end of
monitta

Answer:

$157 per equivalent unit

Explanation:

Note: <em>The full question is attached as picture below</em>

<em />

Conversion cost per equivalent unit = Conversion costs added during February / Equivalent units of conversion costs

Conversion cost per equivalent unit = $1,100,000 / 7000 units

Conversion cost per equivalent unit = $157.14286

Conversion cost per equivalent unit = $157 per equivalent unit

6 0
2 years ago
Other questions:
  • Having low credit score can make it more difficult to
    6·2 answers
  • Imagine visiting a foreign nation and having to resolve a minor issue with your passport and travel plans. If someone told you t
    6·2 answers
  • Advancements in medical technology often lead to new careers.<br><br> True<br> False
    10·2 answers
  • Which of the following statements is correct?
    7·1 answer
  • Your brain is fried, and you just cannot come up with a creative topic for an assigned speech. as a last resort, you fire up you
    13·1 answer
  • What are some of the differences between a bank and a credit union
    10·1 answer
  • The life span of a record that follows a set of phases from creation to final disposition is called the ___________.
    7·1 answer
  • "The factor(s) which cause(s) a movement along the demand curve include(s):
    14·1 answer
  • A hair stylist currently cuts and colors hair for 50 clients per week and earns a profit. He is considering expanding his operat
    14·1 answer
  • Borrowing money to pursue an advanced degree makes sense if _____. a. you can earn a scholarship to pay for your educational cos
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!