**Problem Statement: Boolean Expression and Exam Scheduling***Objective*: Generate the Boolean expression for the following scenario and determine if it is satisfiable. If it is satisfiable, provide an acceptable configuration of the variables.**Context**:- There are four classes (Algebra, Biology, Comp Sci, Dance) that need to schedule their final exams.- There are two available days to schedule exams (Day 1, Day 2).- Each exam must be scheduled only once.- Exams for courses that have overlapping student enrollments cannot be on the same day.**Constraints**:1. Algebra and Biology have some of the same students.2. Biology and Comp Sci have some of the same students.3. Comp Sci and Dance have some of the same students.4. Dance and Algebra have some of the same students.**Goal**: Determine a feasible exam schedule that adheres to the above constraints or prove that such a schedule cannot exist.

Answered: 11. Generate the Boolean expression for…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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**Problem Statement: Boolean Expression and Exam Scheduling**

*Objective*: Generate the Boolean expression for the following scenario and determine if it is satisfiable. If it is satisfiable, provide an acceptable configuration of the variables.

**Context**:
- There are four classes (Algebra, Biology, Comp Sci, Dance) that need to schedule their final exams.
- There are two available days to schedule exams (Day 1, Day 2).
- Each exam must be scheduled only once.
- Exams for courses that have overlapping student enrollments cannot be on the same day.

**Constraints**:
1. Algebra and Biology have some of the same students.
2. Biology and Comp Sci have some of the same students.
3. Comp Sci and Dance have some of the same students.
4. Dance and Algebra have some of the same students.

**Goal**: Determine a feasible exam schedule that adheres to the above constraints or prove that such a schedule cannot exist.

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The question asks to create a Boolean expression to model the scheduling of exams for four classes on two different days. It also requires determining if a valid schedule exists based on certain constraints and providing an acceptable configuration if it does.

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