EM602
MID TERM
Instructions: Answer each question. Use Lindo to solve all problems. Show all work by
describing variables, stating assumptions, illustrating model and showing output solution to the
problem. The exam work should be completed in a word file
Lecture 1 video
decision making process can be made in 2 different ways
quantitative analysis: taking a numerical decision making approach to a decision
(2/$10 or 3 / $9) making a decision in a finite countable way
the only method we will be using in t
Home work lecture 2 Assignment
Problem #53
TURKEY 1
Cost: $10
Yield: (5) lbs white meat
(2) lbs dark meat
Cutlet #1
Price: $4/lb
Let:
T1 = Numbered of type 1 turkeys purchased
T2 = Numbered of type 2 turkeys purchased
D1 = lbs of dark meat used in cutlet
Home work lecture 1 Assignment
Problem #54
LET: PSt =
PWt =
SSt =
SWt =
ISt =
IWt =
Sedans produced during month t
Wagons produced during month t
Sedans sold during month t
Wagons sold during month t
Sedans in inventory at end of month t
Wagons in invento
Home work lecture 1 Assignment
Problem #48
Alexis Cornbys position as of Jan 1st
Let :
Corn: 50 tons
Cash: $1,000
Cj = cash on hand at the end of January
Cf = cash on hand at the end of February
Cm = cash on hand at the end of March
Ca = cash on hand at t
Home Work lecture 3 Assignment
Problem #25 (Ghostbusters, Inc)
Summary of given information:
Month
Demand
(# Ghost)
Revenue /
Price per
# Ghost
Ghost
leftover Ghost exorcised
per montht
per worker
$800
$100
10
Salary per
Worker
January
100
February
300
$8
Zales Jewelers (problem
4, chapter 5 review)
Zales Jewelers uses rubies and sapphires to produce two
types of rings. A type 1 ring requires 2 rubies, 3 sapphires
and 1 hour of jewelers labor. A type two ring requires 3
rubies, 2 sapphires and 2 hours of j
New Jersey Institute of Technology
Management Science
(EM602; Fall Semester 2015)
Internet Based Course on Moodle
Professor:
Rick Grandrino
(C) 8563410889
email: [email protected]
INDEX
Text Books & Software
Course Description
Moodle
EM602 Co
Integer & Zero 1 Program Solutions
#2, Pg 502
Let Xi = Tons of water produced at site i
Yi = zero/one variable: 1 = pollution control station is built at site i
0 = otherwise
LP Model:
Min Z = 100000Y1 + 60000Y2 + 40000Y3 + 20X1 + 30X2 + 40X3
S.T. .4X1 +
A company produces tools at two plants and sells them to three customers. The cost of
producing 1000 tools at a plant and shipping them to a customer is as follows:
CUSTOMER # 1
CUSTOMER # 2
CUSTOMER # 3
PLANT 1
$60
$30
$160
PLANT 2
$130
$70
$170
Custome
Ramp Metering on the A19 in
Middlesbrough, England
Freeway Defined
A divided highway with full control of access and two or
more lanes for the exclusive use of traffic in each
direction.
Definitions
Freeway Capacity
The maximum sustained 15min flow ra
Red Brand Canners Solution
Red Brand Canners LP
Example Problem
OBJECTIVE
THE MAIN ISSUE IS HOW TO ALLOCATE 3 MILLION LBS OF
TOMATOE RESOURCES TO PRODUCE THE TOMATO PRODUCTS
& MAXIMIZE PROFIT
Whole Tomatoes
Tomato Juice
Tomato Paste
ANOTHER ISSUE IS WH
Operations Research
/Management Science
Lecture 5
Integer & Zero/One Programming
1
Integer Programming &
Zero One Programming
Integer programming is a linear programming technique that
causes the solution variables to be integer values
Utilizes a branch/
Simplex Algo  Minimization
 Multiply objective function by 1 and solve as regular maximization problem
 Artificial variable will be added when the equation is false
 X1 + x2 = 10
 If you have no inequality and no slack/surplus variable then when you


Using LINDO
 You can call variables anything you want, as long as they start with a letter
 (you can use x1, x2 etc or actual names)
 First type in your objective function (min/max) and the variables
 LINDO looks with coefficient associated with v
Linear programming with graphical method  mathematical technique designed to help users
in planing and decision making relative to resource allocation
 well defined objective must be stated
 alternative course of action must exist
 objective function
Stream Gaging Data
Collected on 10/13/12
Memorial Park, Nutley, NJ
Measurment of the discharge of the main stream channel
Starting from the right bank, if looking down the river
Total width of stream = 22.3 f
Measurements taken every 3 feet
Point 1
Very c
+. (30p0 A rectangular channel is 25 ft wide and
has a flow of 500 cfs at a velocity of 5 ft/sec.
(a) Determine the specific energy of water in the
channel.
(b) Determine the critical depth of the water in the
channel.
(c) Determine the critical velocity.
Objective
The goal of this lab is to compute the minor loss coefficient and friction in a system that
contained a usage of different types of values. It is also, the understanding of the sensation of
water hammer, and measures it quantitatively and how en
1
Viscosity of Liquids
Lab Experiment 1
Jimmy Barrientos
CE 320A
October 5, 2012
2
Table of Contents
Introduction and Purpose
34
Experimental Procedure and Setup
46
Experimental Analysis and Results
68
Discussion and Conclusions
911
References and Ap
NAME Nasir Younus, Mifta Uddin
Problems
Problem 1 Optimal Cost Value from Lindo
Answers: Make sure that answers are
to 3 decimal places
$2,245
Problem 2 (Maximum Profit)
Problem 2 (Pounds of Brand X Produced)
Problem 2 (Pounds of Minim Produced)
Problem 2
NJIT EM602
Cross Group 2 Assignment 1 Nasir Younus, Mifta Uddin
PART A:
Objective: Develop and solve a linear programming model to determine output and input requirements
which will maximize profits.
Assumptions: Internal wood resources will be considered
Cross Group 2: Nasir Younus, Mifta Uddin
Problems
Problem 1 (Maximum Profit)
Problem 1 (Total $ on promotion of Classic Cola, X1 )
Problem 1 (Total $ on promotion of Diet Cola, X2 )
Answers: Make sure that answers Possible
are to 0 decimal places
Points
$
High Level Linear
Programming Problems
Requiring Software
Applications
Operations Research/ Management Science
Lecture 2
Rick Grandrino
LP Software Applications
Examples of standard LP computer programs
that use the simplex method are:
LINDO(access via w