https://file.aiquickdraw.com/mathbot/file/1725642508502jkvirew1.jpg

I can help analyze the problem from the image. Here's a breakdown of what I can see from the task:

### Problem a)
- The first problem talks about placing **16 tables in a room**. The room layout shows that **4 tables need to be placed in the middle**. The goal is to maximize the number of people that can be seated by arranging the tables optimally.
- There are different table arrangements listed as **"I. II. III."**, and corresponding formulas are shown to calculate the number of people that can be seated and the total revenue from each arrangement.

You need to calculate the **maximum revenue** that can be generated based on these seating arrangements and the corresponding formulas provided.

### Problem b)
- Peter does not want to sit in the middle row, and there are no reservations for those seats.
- You need to calculate the new possible maximum revenue without counting the middle-row seats.

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To provide a complete solution, I need to look more closely at the table and the exact formulas provided. Let me clarify the math behind this problem and calculate the solutions.I've opened the image and analyzed the problem structure. Let's break down the solution step by step based on the visible parts:

### Problem a) Maximizing Seating and Revenue:
- There are **three table layouts** (I, II, III).
- The formulas for calculating seating or revenue are shown in the table.
  
I will need to extract the specific numbers and formulas for each layout to calculate the total revenue and determine which option provides the maximum profit.

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### Problem b) Peter's Preference:
- You will calculate the revenue again but **exclude the middle row**, as Peter does not want to sit there, and it's not reserved.
  
To proceed, could you confirm the numbers and formulas listed for each arrangement (I, II, III) from the table? This will allow me to calculate the exact solution.

Arrange 16 tables in a room, with 4 tables in the middle. Calculate the maximum possible revenue from different seating arrangements, and then recalculate excluding the middle row.

Learn how to maximize revenue by arranging 16 tables in a room and using different seating configurations. This problem involves algebraic optimization and recalculates revenue by excluding middle-row seats.

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