Textbook Notes (280,000)
CA (170,000)
UOttawa (6,000)
Chapter 5

# ADM2302 Chapter 5: 5. Week 5 Extra Problems Solution

Department
Course Code
Professor
Rim Jaber
Chapter
5

This preview shows pages 1-2. to view the full 7 pages of the document.
1
Week 5 Extra Problem Solutions
CHAPTER 5
WHAT-IF ANALYSIS FOR LINEAR PROGRAMMING
Problems
5.1.
Let T represent # of Toys and S represent #of Subassemblies.
Maximize:P=3T-2.5S
Subject to: 2T-S<=3000
T-S<=1000
T,S>=0
a)
1
2
3
4
5
6
7
8
9
A B C D E F
Toys Subassemblies
Unit Profit \$3.00 -\$2.50
Used Available
Subassembly A 2 -1 3,000 <= 3,000
Subassembly B 1 -1 1,000 <= 1,000
Toys Subassemblies Total Profit
Production 2,000 1,000 \$3,500
Resource Usage

Only pages 1-2 are available for preview. Some parts have been intentionally blurred.

2
b)
Unit
Profit
Optimal
Production Rates
Total
for Toys
Subassemblies
Profit
\$2.00
0
\$2000
\$2.50
0
\$2500
\$3.00
1000
\$3500
\$3.50
1000
\$4500
\$4.00
1000
\$5500
The estimate of the unit profit for toys can decrease by somewhere
between \$0 and \$0.50 before the optimal solution will change. There is no
change in the solution for an increase in the unit profit for toys (at least
for increase up to \$1).
c)
Unit Profit
Optimal
Production Rates
Total
for
Subassemblies
Toys
Subassemblie
s
Profit
-\$3.50
1000
0
\$3000
-\$3.00
1000
0
\$3000
-\$2.50
2000
1000
\$3500
-\$2.00
2000
1000
\$4000
-\$1.50
2000
1000
\$4500
The estimate of the unit profit for subassemblies can decrease by
somewhere between \$0 and \$0.50 before the optimal solution will
change. There is no change in the solution for an increase in the unit
profit for subassemblies (at least for increases up to \$1).
d) Parameter analysis report for change in unit profit for toys (part b):