IEOR162_SampleMidterm1

# IEOR162_SampleMidterm1 - Department of Industrial...

This preview shows pages 1–3. Sign up to view the full content.

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: Department of Industrial Engineering & Operations Research IEOR162 Linear Programming SAMPLE Midterm Exam 1 Fall 2011 Name: SAMPLE Midterm Exam 1 Grade: SAMPLE Midterm Exam 1 1. Consider the following linear program max 3 x 1- 2 x 2 s.t.- x 1- x 2 ≥ 5 (1) 2 x 1- x 2 ≤ 4 (2) x 2 ≤ 4 . (3) (a) Draw the constraints and then shade the feasible region. Draw an isoprofit line and then indicate the improving direction on your graph. Find an optimal solution x * = ( x * 1 ,x * 2 ), if any, or conclude that the problem is infeasible or unbounded. (b) Write down the binding constraints, if any, at the point ( x 1 ,x 2 ) = (2 , 0). (c) For the following alternative objective function min- 6 x 1 + 3 x 2 , determine whether the new linear program will be having a unique optimal solution, multiple optimal solutions, infeasible, or unbounded. 1 2. The Gotham City Police Department employs 30 police officers. Each officer works 5 days per week. The crime rate fluctuates with the day of the week, so the number of police officersper week....
View Full Document

## This note was uploaded on 10/24/2011 for the course IEOR 162 taught by Professor Zhang during the Fall '07 term at Berkeley.

### Page1 / 4

IEOR162_SampleMidterm1 - Department of Industrial...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online