Zakaulllah Hijazi
RU.ID.: 146006739
Homework 2 OM: Linear programming modeling and solutions
DUE: February 16, 2015
OPS MGMT 385
Professor Ninh, Anh
(An investment problem) A client has approached a s
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Homework assignment 2
You must read these instructions before proceeding to the solution.
Due date: February 29th
Where and when
A
B
C
D
E
F
G
Op.
<=
<=
Current units in
warehouses
400
300
Shipping Costs
1
$1.50
$1.00
2
3
$3.50
$5.00
4
200
200
5
6
$2.50
$4.00
Shipping capacities
200
200
200
200
7
8
9
10
11
12
13
Decision Variab
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Homework assignment 4
You must read these instructions before proceeding to the solution.
Due date: April 4th by 5:20 PM.
Where a
Month 1
Demand for Shirts
Demand for Pants
Cloth available (square yards)
Production cost per unit
Inventory cost per unit
Month 2
1000
1500
6000
$9.00
$3.00
100
200
Production
Shirt
Pants
Month 1
Inv
LaMode Problem
Decision Variables
Var Names
Production 1 Production 2 Production 3 Production 4 Production 5 Production 6
Symbol
P1
P2
P3
P4
P5
P6
Var Values
270
285
235
270
275
265
Helper Variables
V
Table (optional)
There are many ways of putting the model in Excel. In this case I put all
the parameters of the problem in the table below, and therefore did
not need to specify the parameters separa
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Preparation for Final Exam
The problems given below are meant to demonstrate the level of complexity of the exercises that will be
Rutgers University
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Professor Eckstein
[email protected]
Lecture Notes: Chapter 6
Network Models
In this class, well look at two more standard modeling technique
a.
We have to decide on the number of primary and secondary adjudicators to hire. We can hire 3,4,8 p
and 2,3,4 secondary, so our scenarios are the 18 possible combinations of these values
b.
The dema
Rutgers Business School
33:136:386 Operations Management
Exercises Process Models
Recommended problems from Taylors textbook (12th ed.):
This topic is not covered in the book
Problem 1. Chemco produc
A
B
C
Begin. Invent.
(units)
1
Rocking Horse
Scooter
2
3
25
55
Horse demand
Scooter demand
Plastic available
Time available
5
6
7
8
E
10
12
May
220
450
13000
3200
2
4
$12
$14
June
350
700
15000
3500
6
A
1
2
3
4
5
6
7
B
C
D
Time in days
Dinning set Coffee table Nightstand set
19
11
23
14
20
22
21
12
18
10
Carpenter
1
2
3
4
5
E
F
Bookcase
12
8
11
25
9
30
20
20
18
21
G
H
I
J
K
Rate per day
$280
$416
$
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Preparation for Final Exam - Solutions
Problem 1
xt = number of computers assembled in Factory 1 in month t, t = 1; 2; 3; 4
yt = nu
Homework 3
Decision Variables:
X1 = number of process 1 need to process for next week
X2 = number of process 2 need to process for next week
X3 = number of process 3 need to process for next week
Obje
A
1
2
3
4
5
6
7
8
9
B
Process 1
Raw Material 1
Raw Material 2
Time (Hours)
Processing Cost
Product A
Product B
Product C
C
D
E
Process 2 Process 3
1
1.5
$15
2
3
1
1
$5
1
2
2
$7
-2
-3
1
Decision Variab
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Exercises Simulation
Problem 1. You make a perishable, volatile chemical for which you charge $2.25 per liter. You have 75
regular
Number of computers
Prob of regular problem
Regular time to fix
Prob of serious problem
Extra time needed for serious problem
Daily hours per Technician
Daily cost per Technician
Overtime cost per hou
Rutgers Business School
33:136:386 Operations Management
Spring 2016
Homework assignment 4 - SOLUTION
Question 1
a.
Decision Variables
xij = 1 if carpenter i makes piece of furniture j, =0 otherwise;
Rutgers Business School
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Fall 2015
Policies and Study Guide for Midterm 2
General information
The exam is on the 18th of November.
The exam will have the duration
Graphical solution
33:136:386 Operations Management
Marta Cavaleiro
Outline
Graphical solution of LPs (Taylors Chapter 2)
Enumeration approach and Isoprofit/Isocost lines approach
The bags problem L
Process Models I
33:136:386 Operations Management
Marta Cavaleiro
Outline
Process Models (not covered in Taylors book)
Bike Wheels Problem
Modeling
Computer Solution
Product Mix problems
Resourc
es
Process Models II
33:136:386 Operations Management
Marta Cavaleiro
Outline
Process Models (not covered in Taylors book)
Perfumes Problem
Modeling
Computer Solution
The Perfumes
Problem
Rylon Corpora
Question 2 - solution
a.
Plot constraints in the graph (10 points)
Finding two points for each constraint:
Constraint 1:
Set X1 = 0 X2 = 6
1st point is (0, 6)
Set X2 = 0 X1 = 7.5
2nd point is (7.5, 0)
b. Model (15 points)
x1 = number of times we process 100 liters of chemical A into 40 liters of C and 60 liters of B
x2 = number of times we process 100 liters of chemical C into 60 liters of D and 40