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ENGRI 1101 Engineering Applications of OR
Fall ’09 Homework 8
Linear Programming
•
Due date:
4:00pm on Friday, November 6, 2008
in the ENGRI 1101 box at the west end of the
corridor on the second ﬂoor of Rhodes Hall, where it connects to Upson.
•
Reading assignment: Chapter 3 of Winston and Chapter 2 of Chvatal (included in coursepack).
•
Make sure to put your name, netid, and lab section on the ﬁrst page and staple the problems in order.
1. (a) (15) Solve the following 2variable linear program by the graphical method: maximize
x
+ 2
y
subject to
x
≤
6
y
≤
4
3
x
+ 2
y
≤
17
y

8
x
≤
0
x
≥
0
y
≥
0
(It would probably help to use crosssection/graph paper for this problem.)
(b) (5) What would be the optimal solution if we further constrained
x
and
y
to be integers? Be
sure to explain your answer.
(c) (10) Now answer both of the previous questions again if the objective function were changed to
be to maximize
y

x
. Again, be sure the justify your answers.
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This note was uploaded on 09/07/2011 for the course OR 1101 taught by Professor Trotter during the Fall '09 term at Cornell University (Engineering School).
 Fall '09
 TROTTER

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