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Chapter 5

ADM2302 Chapter 5: 5. Week 5 Extra Problems Solution


Department
Administration
Course Code
ADM 2302
Professor
Rim Jaber
Chapter
5

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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

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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):
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