Graphically solving operations research with linear programming
Not what you're looking for?
State all the assumptions and show all the work. Define your decision variables clearly. Briefly explain the constraints and objectives functions and define all unit of measure.
Consider the following LP model:
Max Z = x1 + x2
s.t.
x1 + 3x2 <=8
x1 + x2 <=4
x1 , x2 =>0
a) Solve the problem graphically (without any solver). What are the optimal values of x1 and x2 and the optimal objective function value?
b) Consider the following constraint: 2x1 + 3x2 <= b
i. For b = 12: Add this constraint to your plot. What happens to the feasible region? What is the new optimal solution and new optimal objective value?
ii. For b = 6: Add this constraint to your plot. What happens to the feasible region? What is the new optimal solution and new optimal objective value?
c) What happens to the optimal values of x1 and x2 and the objective function if the right hand side of constraint (1) is increased slightly? A qualitative answer is sufficient, but make sure to give reasons for your conclusion.
Purchase this Solution
Solution Summary
A Complete, Neat and Step-by-step Solution is provided in the attached file.
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability