Mention the formula to be used to compute P ( A and B ) . Check whether the value is P ( A and B ) ≠ 0 . Explain it.

Question

Solve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.

Answer 1

Question

Chapter 4.2, Problem 12P

a.

To determine

Mention the formula to be used to compute P(A and B).

Check whether the value is P(A and B)≠0. Explain it.

b.

To determine

Explain whether the events A and B are not mutually exclusive.

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