Chapter 3
Linear programming :Graphical Method
1) Consider the following linear program:
MAX
s.t.
Z = 60A + 50B
10A + 20B 200
8A + 5B 80
A2
B 5
Solve this linear program graphically and determine the optimal quantities of A, B, and the value of Z.
2) Cons
Chapter 1
Break even analysis
1.
The Willow Furniture Company produces tables. The fixed monthly cost of production is $8,000,
and the variable cost per table is $65. The tables sell for $180 apiece.
a. For a monthly volume of 300 tables, determine the to
Prof. Hadi
Forecasting
Forecasting
1. The following time series represent the total population of the United States, in
thousands, over the last 12 years.
Year
Population (in 000,s)
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
253,493
256,8
chapter 3
solution
note that : 1,2,3,4,5,6,7 use Qm for windows
8) As a supervisor of a production department, you must decide the daily production totals of a certain product
that has two models, the Deluxe and the Special. The profit on the Deluxe model
Chapter 7
Transportation and Assignment
1-Transportation
1. The plant at St. Louis can supply 250 tons of carpet per week; the plant at
Richmond can supply 400 tons per week. The Chicago outlet has a demand of 300
tons per week, and the outlet at Atlanta
EXAM I Fall 2010 NAME
1)(0.1pts) A manufacturer tests shipments of circuit boards for reliability before
accepting them from a supplier. The precedure is to take a sample of 100 from a lot of
500 and test all 100 boards. The shipment is sent back if 2 or
Examples: Discrete Probability Distributions
Example: Uniform distribution
1/121) An engineer is selected from a staff of 10 to supervise a certain civil
work project by selecting a tag at random from a box containing 10 tags
numbered from 1 to 10. Find t
CSE 21 - Winter 2012
Homework #6
Homework 6 Solutions
6.1 An urn contains 3 Red and 4 Blue marbles. A random marble M1
is drawn. If M1 is Red then 2 more Blue marbles are placed in the urn
(but M1 is not put back into the urn). If M1 is Blue, then it is p
King Fahd University of Petroleum & Minerals
Department of Mathematics & Statistics
STAT-319-Term073-Quiz2-A - SOLUTIONS
Name:
ID:
Sec.:
Serial:
Q1. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The
results
Simplex Method
Example #1 (Maximization problem ) :
Graphical solution of this problem:
Standard Form of the Model:
Example :
Example # 2 Minimization problem:
* Irregular Types of Linear Programming Problems :
1- The Multiple Optimal Solutions:
Graphical
Chapter 4_Management
Solution
1) Consider the following linear program:
Maximize
Z = 3 X1 + 2 X 2 - X 3
X1 + X2 + 2 X3
Subject to:
2 X1 3 X1 +
X2 +
X3
X2
X 1 , X2 , X3
10
20
15
0
(a) Convert the above constraints to equalities by adding the appropriate sl
Chapter 3
Discrete Random Variables and Probability
Distributions
3-1 Discrete Random Variables
Example 3-1 (Voice lines)
A voice communication system for a business contains 48
external lines
Random variable X: The number of lines in use
X can assume any