Linear Programming Question
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Solve the following Integer Linear Programming Problem graphically using the method presented in class. Indicate whether problem is unbounded, infeasible and if an optimal solution exists, clearly state what the solution is. MAX Z = X1 + 2X2ST 4X1 + 6X2 ≤ 22 X1 + 5X2 ≤ 15 2X1 + X2 ≤ 9 X1, X2 ≥ 0 and X1 integer
Question 13 (3 points) Both linear and nonlinear programming models are examples of: 1) 2) goal programming models. 3) 4) simplex tableaus. constrained likelihood models. constrained optimization models
D Question 17 0-1 Integer Programming is similar to linear programming except the variables can only be O and 1. Consider the 0-1 Integer Programming Decision Problem (0-1 IPD) as defined below: Instance: A set X of 0-1 integer variables (x O or x, 1), a set of inequalities over these variables, a function f(x) to maximize and integer K. Question: Does there exist an assignment of values to X such that all inequalities are true and fx) K? xample...
Linear programming in real life example
Solve the linear programming problem with two-phase methodmaxz=2x +3x 122x +2x ≤12 12s.t.x +2x ≥14 12xx≥0
QUESTION 15 3 p The objective of a linear programming problem is to maximize 1.50X + 1.50Y, subject to 3X + 2Y = 600, 2X +4YS 600, and X,Y 2 0. What is the optimal (best) value of the objective function, subject to the constraints and rounded to the nearest whole number? 225 300 338 425 500
Which of the following represents valid constraints in linear programming? o 2X2 7XY 2X* 7Y 2 500 - 2X + 3Y = 100 2X^2 + 7Y 250 All of the above are valid linear programming constraints. A Moving to another question will save this response.
Which of the following is NOT true about linear programming problems: When dealing with extremely complex real problems, there is no such thing as the perfectly correct linear programming model for the problem Approximations and simplifying assumptions generally are required to have a workable linear programming model Linear programming problems can be formulated both algebraically as a mathematical model and on spreadsheets None of the answers are accurate
Linear programming is an excellent technique yet is not applied nearly enough in the “real world.” Discuss the benefits of linear programming and explain why it is not used that much
What does Fundamental theorem of linear programming says?