Matt Pekarek
ISE 3200 Homework 1
Formulation of Problem
The production planner in a Cheese Packaging plant is trying to schedule how many hours of overtime to
operate each production line on a Saturday to complete the plants weekly production orders while
ISE 3700 Midterm Topics Spring 2013
Mental model vs. design model
Leadership:
If you are the leader of a team
Create an environment where the team members feel comfortable and responsible to express a
concern
Create an environment where the lines of autho
Production Planning Problem
A company manufactures four variants of the same product and in the final part of
the manufacturing process there are assembly, polishing and packing operations. For
each variant the time required for these operations is shown
YOU SHOULD HAND IN SOLELY THESE TWO PAGE ! P LEASE WRITE YOUR SOLUTIONS ON THEM .
O PEN BOOKS . N O ELECTRONIC DEVICES OF ANY TYPE .
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ISE 3200 Linear & Integer Programming, Fall 2015
Final Exam: Tuesday Dec 15, 2:00PM - 3:45PM, Hitch
Nia Booker
ISE 3200
HW 4
Problem
Tyler manages markets which use coal warehouses for storage of different amounts of coal. He has the
option to store coal in three different warehouses. He determines which market to house based upon
storage cost.
Markets
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ISE 3200 Linear & Integer Programming
Fall 2014, Final Exam, December 17, 2014, Instructor: A. J. Conejo
1. Jose builds electrical cable using two types of metallic alloys. Alloy 1 contains 55% of aluminum and 45% of
copper, while a
1 LP Real World Example Electricity Production
Electricity producer operates two production facilities (12 and 16 units/hr)
Sells electricity produced at $1/hr
*Assume both have common equipment
Constraints (equations have to be linear)
2/3x1 + x2 18
2x1
function [ Fx] = magicalberries(x)
%UNTITLED3 Summary of this function goes here
%
Detailed explanation goes here
for i=1:length(x)
if x(i)>=0 & x(i)<2
Fx=x(i)^2+0.5*x(i);
disp(Fx)
elseif x(i)>=2 & x(i)<4
Fx=2*x(i).^2+2;
disp(Fx)
elseif x(i)>=4 & x(i)<6
F
YOU SHOULD HAND IN SOLELY THIS PAGE ! P LEASE WRITE YOUR SOLUTIONS ON IT.
First name:
Last name:
ISE 3200 Linear & Integer Programming, Fall 2015
Midterm Exam: Thursday Oct 22, 12:45PM - 2:05PM, Hitchcock Hall 035, Instructor: A. J. Conejo
1. (1 over 10)
Nia Booker
September 14, 2016
HW 1
Problem Description
Cameron works for a motorcycle company and is in charge of selling t-shirts at their final
motorcycle race of the year. Cameron has ordered only four different size t-shirts and has to
accommodate thr
Formulation of Problem:
Three forces are being applied to a horizontal beam, one forty pound force in the upward direction and
two, two pound forces in the downward direction. Determine the optimal distances to apply the forces
from the origin in order to
ISE 3200 LP Practice Problems
Sensitivity Analysis and Duality Questions
1. Consider a linear programming problem
maximize
sub. to
z(x1 , x2 )
x1
2x2
x1 + x2
6x1 + 5x2
x1 , x2
=
10x1 + 3x2
5
16
8
20
0
(1)
(2)
(3)
(4)
i. Solve the problem by using Graphica
ISE 3200 Recitation
Product Manufacturing:
A certain plant can manufacture four products A, B, C, and D in any combination. Each product
requires time on each of three machines in the following manner (figure in minutes/unit):
Product
Machine
1
A
B
C
D
2
Recitation Integer Programming
Example 1: Total Integer Model
We are interested in purchasing machines A and B, which have a profit margin of $100/machine and
$150/machine respectively. The total budget available to buy these machines is $40,000. Addition
Integer Programming
1. ChemCo produces three strengths of Xykamuk (a secret formula for growing giant watermelons) on three dierent production lines. Each line can be staed by up to 7 workers at
a time. Workers are paid $500 each per week on production li
Practice Problem with Several Either/Or Type Constraints
(See constraints v, vii, and viii)
The head coach of Whatsamatta U., Coach Bull Winkle, needs to select 7 players for his new
basketball team. He has been able to narrow down his choices down to 10
ISE 3200 LP Practice Problems
LP Solution Methods Problems
1. Consider the minimization problem below:
minimize z(x1 , x2 )
sub. to x1 x2
x2
4x1 + x2
x1 , x2
=
4x1 x2
2
4
28
0
a. To solve the problem by using Graphical Solution Method explicitly complete
ISE 3200 LP Practice Problems
LP Formulation Questions
1. Bailout Bank currently has 20 million dollars to invest in loans. The bank wants to maximize
the total prot on the loans that are made. There are 4 types of loans that Bailout can make
Personal, Ca
ISE 3200: Linear and Integer Programming
Homework 1
Due January 27, 2015
Formulate the linear programming problem described below. Then, use an LP computer package
of your choice to solve the problem.
Complete the following steps:
1. Take the last 4 digit
ISE 3200
Spring 2015
Feb 11 Recitation
Name
1. The Central Ohio Transit Authority (COTA) System works 24 hours, 7 days. In dierent
period, COTA system needs dierent number of drivers shown as follows (in 24-hour system):
Number Time Period Number of drive
Matt Pekarek
ISE 3200 Homework 3
Formulation of Primal Problem:
The production planner in a cheese Packaging plant is trying to schedule how many hours of overtime to
operate each production line on a Saturday to complete the plants weekly production orde
ISE3200 Linear and Integer Programming
Autumn 2013
Lecture 5: 9/5/2013
Lecturer: Prof. Simge Kkyavuz
Disclaimer: These notes have not been subjected to the usual scrutiny reserved for formal
publications. They may be distributed outside this class only wi