{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

asst2 - you can argue directly(a[1 1 0 T(b[3 2 1-1 T(c[0 2...

This preview shows pages 1–2. Sign up to view the full content.

ORIE 3300/5300 ASSIGNMENT 2 Fall 2010 Individual work. Due: 3 p.m., Friday September 17. 1. Consider the simple Sudoku-style puzzle below. 1 4 2 3 You must fill each cell with one of the four numbers 1, 2, 3, or 4. (Four of the cells are already filled.) Each of the four numbers appears exactly once in each row, exactly once in each column, and exactly once in each of the four bold squares. Solve the puzzle by hand. Then solve the problem again using AMPL. Include your model file (with comments!) and output. You should also submit your AMPL model file to Blackboard, where you found this assignment. 2. For the system of equations x 1 + 3 x 2 + 2 x 3 - x 4 + 2 x 5 = 4 2 x 2 + 3 x 3 - 3 x 4 + x 5 = 2 4 x 1 + 4 x 2 + x 3 - 2 x 4 + 4 x 5 = 8 which of the following is a basic solution? Justify your answers. You may want to perform some elementary row operations to help you, or

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: you can argue directly. (a) [1 , 1 , , , 0] T ; (b) [3 , , 2 , 1 ,-1] T ; (c) [0 , , , , 2] T ; (d) [ 1 2 , 1 2 , , , 1] T . 1 3. Consider the set of vectors x satisfying 3 x 1 + x 2 + 5 x 3 + 2 x 4 = 4 5 x 1 + x 2 + 7 x 3 + 3 x 4 = 6 x 1 , x 2 , x 3 , x 4 ≥ . Answer the following questions, justifying your answers carefully. (a) Find an extreme point of the feasible region. (b) Find a basic solution that is not feasible. (c) Find a feasible solution that is not basic: justify your answer by using the de±nition of basic solution. (d) Find a feasible solution that is not an extreme point: justify your answer by using the de±nition of extreme point. 2...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

asst2 - you can argue directly(a[1 1 0 T(b[3 2 1-1 T(c[0 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online