# 2007 midterm answers - RUTGERS BUSINESS SCHOOL Undergraduate Program New Brunswick Midterm Examination 33:623:386:B6 Dr M Markowitz Operations

This preview shows pages 1–5. Sign up to view the full content.

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

View Full Document
Graphing Problem 1. (15 Points) Solve the following LP problem (on the next page) graphically using level curves. Place your graph on the graph paper provided. On your graph, CLEARLY (defined as me being able to actually see, read and understand what you have done) indicate the feasible region and answer the following: a. What are the coordinates of the Optimal Point? Answer: (0, 10) b. What is the value of the objective function at the optimal point? Answer: 2000 0 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 0 1 2 3 4 5 6 7 8 9 1 0 X 2 : 1 . 0 X 1 + 1 . 0 X 2 = 5 . 0 : 2 0 . 0 X 1 + 1 0 . 0 X 2 = 1 6 0 . 0 : 3 0 . 0 X 1 + 1 0 . 0 X 2 = 1 2 0 . 0 : 1 0 . 0 X 1 + 1 5 . 0 X 2 = 1 5 0 . 0 P a y o f f : 5 0 . 0 X 1 + 2 0 0 . 0 X 2 = 2 0 0 0 . 0 O p t i m a l D e c i s i o n s ( X 1 , X 2 ) : ( 0 . 0 , 1 0 . 0 ) : 1 . 0 X 1 + 1 . 0 X 2 > = 5 . 0 : 2 0 . 0 X 1 + 1 0 . 0 X 2 < = 1 6 0 . 0 : 3 0 . 0 X 1 + 1 0 . 0 X 2 < = 1 2 0 . 0 : 1 0 . 0 X 1 + 1 5 . 0 X 2 < = 1 5 0 . 0
Max: 50 X 1 + 200 X 2 Subject to: 1 X 1 + 1 X 2 >= 5 20 X 1 + 10 X 2 <= 160 30 X 1 + 10 X 2 <= 120 10 X 1 + 15 X 2 <= 150 X 1 , X 2 >= 0 2007 Summer Operations Management Midterm 3

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

View Full Document
2. A farmer/rancher operates an 800 acre irrigated farm/ranch in a river valley in Arizona. The principal activities are raising wheat, alfalfa, and beef. The valley
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/04/2008 for the course MSIS 386 taught by Professor Markowitz during the Summer '06 term at Rutgers.

### Page1 / 11

2007 midterm answers - RUTGERS BUSINESS SCHOOL Undergraduate Program New Brunswick Midterm Examination 33:623:386:B6 Dr M Markowitz Operations

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online