AMPL System Analysis

CMGT 575 Introduction to Systems Analysis Assignment #4

Graphical Method: Solve the Linear Programming Models below using the Graphical Solution method. Complete the plot on computation or graph paper. Include solutions (decision variables and objective function) for all corner points.

1. Maximize z = 5x1 – 2x2 Subject to: 2x1 + x2 ≤ 9 x1 – 2x2 ≤ 2 -3x1 + 2x2 ≤ 3 x1, x2 ≥ 0 2. Maximize z = 4x1 + 2x2 Subject to: -2x1 + x2 ≤ 4 x1 + 2x2 ≥ 2 x1, x2 ≥ 0

3. Maximize z = 3x1 + 2x2 Subject to: x1 - x2 ≥ 0 x1 + x2 ≥ 2 x1, x2 ≥ 0 4. Maximize z = 4x1 + 5x2 Subject to: -x1 + 2x2 ≤ 10 3x1 + 2x2 ≤ 18 x1, x2 ≥ 0

Excel Solver: Solve the problems from the textbook listed below using Excel Solver. 2-75 – Use intermediate decision variables and careful consideration of the constraints. 3-82 – Provide sheets for part a, b, and c. AMPL Solution: Solve the problems from the textbook listed below using the AMPL Solver. 2-87 – Consider the route assignment application. 3-86 – I understand that Popeye Canning should be canning spinach and not tomatoes.