A concert hall has 12,000 seats and two categories of ticket prices, S32 and $42. Assume that all seats in each category can be sold. Concert 2 12,000 $403,000 3 12,000 $415,000 Tickets sold 12,000 S455,000 Return required
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
a. How many tickets of each category should be sold to bring in each of the returns indicated in the table?
b. Is it possible to bring in a return of 750,000 when all the seats are sold?
c. Describe all possible returns
![### Concert Hall Revenue Analysis
A concert hall has a total of 12,000 seats and offers two categories of ticket prices: $32 and $42. The assumption is made that all seats in each category will be sold.
#### Concert Revenue Data
The table below displays the number of tickets sold and the corresponding returns required for three different concerts:
| Concert | Tickets Sold | Return Required |
|---------|---------------|-----------------|
| 1 | 12,000 | $455,000 |
| 2 | 12,000 | $403,000 |
| 3 | 12,000 | $415,000 |
### Analysis
All three concerts sold out, with 12,000 tickets purchased for each event. Despite the consistent number of tickets sold, the returns required for each concert varied:
- **Concert 1:** The return required was the highest at $455,000.
- **Concert 2:** This concert required the lowest return of $403,000.
- **Concert 3:** The required return for this concert was $415,000.
This data can be used to analyze the pricing strategy and operational costs associated with different concerts in the same venue.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff60bf7ae-3e0a-47f1-9493-b686204b7388%2Ff0cfbc3e-cb36-4173-a55c-a279c678276f%2Fo4ihjkq_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 22 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)