Find and plot the cumulative frequency distribution for the number of years the patient lived after the therapy.

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 3.3, Problem 37E

a.

To determine

Find and plot the cumulative frequency distribution for the number of years the patient lived after the therapy.

b.

To determine

(i). Find the approximate proportion of patients who lived fewer than 5 years after treatment.

(ii) Find the approximate proportion of patients who lived fewer than 7.5 years after treatment.

(ii) Find the approximate proportion of patients who lived more than 10 years after treatment.

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