Sample Problems for the Final Part 1
Question 1
A workshop has 5 jobs to perform today. Each job must be done by exactly one machine, but a machine
can do more than one job. For each machine, there is a setup cost for the regular workday. Once this
cost i
Production / Operations Management
(29:623:311)
Homework Assignment 4
Solution
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: Please submit electronically. Except for Section 9
2 Submission attempts: You a
Final Exam Sample Problem Part 2
Question 1
A Hollywood movie studio is looking for actors, actresses, and singers for a
new movie. The positions to be filled are one male and one female leading
roles, one male and two female support roles, and one female
Rutgers Business School: Undergraduate Newark
Production / Operations Management (29:623:311)
Spring 2014
Instructor: Mahmoud Youssef Ahmed
Midterm Exam 2 April 21st 2014
Solution
Name:
Section:

You have 60 minutes to complete this examination.

Please
Multiperiod production with setup cost
Consider the Pigskin problem that we covered in the lecture (below). Find Pigskin's optimal
production policy if, in addition to the given production and holding costs, there is a fixed
cost of $50,000 during any mo
Sample Problems
Process Models
1 NJ Chemicals produces three products: K, L, and M. They can sell up to 60 pounds of each
product at the following prices (per pound): product K, $20; product L, $24; product M,
$40. NJ Chemicals purchases raw material at
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Christmas Tree
INVENTORY POLICY
Submitted by: Amol Gandhi, Rahul Sharma, Rajesh Soraisham,
Sairam Dinakar Inguva, , Sattvik Sharma, Siddarth Chinnareddy
Christmas Tree Question
Consider again the Christmas tree example in section 4.4.1.
Suppose that this
Production and Operation Management
Exam 1 Review
Question 1: (25 Points)
Write your answer to this question in the bluebook. DO NOT ANSWER THIS QUESTION ON THIS SHEET.
For each of the following items, please select the correct answer and explain the logi
Production/Operations Management (29:623:311)
Midterm Exam 2 Review
Question 1: (40 Points)
Future Plastics manufactures plastic products for industrial use worldwide. In order to meet
demand, they are considering setting up a facility in each region in o
Production / Operations Management
Homework Assignment 3
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: This assignment must be submitted electronically using blackboard assignment
manager. Email and physic
Homework Assignment 2
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: This assignment must be submitted electronically using
blackboard assignment manager. Email and physical submissions will not be
graded.
Production / Operations Management
(29:623:311)
Homework Assignment 5
Question 1: Netwok (50 Points)
A steel mill in Gary supplies steel to manufacturers in eight other midwestern cities
by truck, as shown in the following network:
The travel time between
Production / Operations Management
(29:623:311)
Homework Assignment 5
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: This assignment must be submitted electronically using
blackboard assignment manager. Ema
Production / Operations Management
(29:623:311)
Homework Assignment 4
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: This assignment must be submitted electronically using
blackboard assignment manager. Ema
Production/Operations Management (29:623:311)
Midterm Exam 2 Review
Question 1: (40 Points)
Future Plastics manufactures plastic products for industrial use worldwide. In order to meet demand, they are
considering setting up a facility in each region in o
HW1 Solution
Problem 1
Plot constraints
Set constraint 1 as equality: 10A + 20B = 200
Set A = 0 B = 10
1st point (0,10)
Set B = 0 A = 20
2nd point (20,0)
Set constraint 2 as equality: 8A + 5B = 80
Set A= 0 B = 16
1st point (0,16)
Set B = 0 A = 10
2nd poin
Production / Operations Management
(29:623:311)
Homework Assignment 4
Instructions
You must read these instructions before proceeding to the solution.
1 Submission: This assignment must be submitted electronically using
blackboard assignment manager. Ema
Diet Problem
Product Mix Table
Nutritional
A
B
C
D
Cost ($/lb)
Stock X (x1)
3 oz
2 oz
1 oz
6 oz
$0.02
Feed
Stock Y (x2)
3 oz
3 oz
0 oz
8 oz
$0.04
Decision Variables
Stock X
x1
Stock Y
x2
Objecive Function (O.F.)
Min
Stock Z (x3) Min Requirements
4 oz
64 o
ANSWERS
Problem1
A) MinimizeZ=80x1+50x2(cost,$)
subjectto
3x1+x26(antibiotic1,units)
x1+x24(antibiotic2,units)
2x1+6x212(antibiotic3,units)
x1,x20
B)
Problem2
A) MaximizeZ=50x1+40x2(profit,$)
subjectto
3x1+5x2150(wool,yd2)
10x1+4x2200(labor,hr)
x1,x20
B)
+ Instructions for Standard
Printout
Page 27 of the Textbook
1
+ Printing the Model as a Set of Values (1)
2
This
is the screen that you see when you are
developing the model and solving it.
Instructions:
Choose
Page Setup from the File (or Page Layout
A
B
C
D
E
F
G
H
I
The Diet Problem
1
2
3
4
5
6
Decision Variables
Decision Names
Corn
Math Symbol
X1
Decision Values
Soybeans
Oats
Fishmeal
X2
X3
X4
0 0.705128205 3.653846154
0
7
8
9
O.F.
Cost
0.6
0.3
0.35
0.85 min cost
1.490384615
11
58
10
10
1000
LHS
OP
32 CHAPTER 2 LINEAR PROGRAMMING: MODEL FORMULATION AND GRAPHICAL SOLUTION
for George B. Dantzig
FIGURE 2.1
Beaver Creek Clay
Pottery Company 120 lb. per day
Labor
40 hours per day
Profit
The two products have the following resource require
Rutgers University
33:623:386 Operations Management
Professor Eckstein
[email protected]
Notes for Lecture 3
In this class, we will cover a manual solution method we call graphical solution of linear
programs. This method is not very practical, bec
Cackes Problem
Decision Variables
Variable names
Chocolate cake Vanilla cake
Math Symbol
x1
x2
Variable Value
O.F.
Parameters
Constraints
Baking Time
Eggs
12
20
4
9
max
40
1
LHS
0
0
OP
<=
<=
RHS
480
30
m
Units
min
eggs
Solve Linear Equation Arrays
Decision Variables
VariableFuel
n additive
Solvent base
Math Symb x1
x2
Variable V 50
40
O.F.
Parameter
1
Constraints
Material 1 0.4
Material 3 0.6
1
max
90
0.5
0.3
LHS
40
42
OP
=
=
RHS
#
#
+
Production / Operations
Management (623:311)
Lecture 1
07/10/2017
1
Course Syllabus
+
See PDF file On Blackboard
Syllabus
2
+ Lecture 1 Agenda
3
Introduction
to Linear Programming
Application Example 1: Pottery Company
Application Example 2: Bags Pro