Jeopardy Template Source
Author: Matt Hamlyn (original) and Tom
Duggan (modifications for ETTC)
Publisher: New Jersey Department of
Education, Union County Educational
Technology Training Center (ETTC)
Available at: "Templates," ETTC,
http:/www.ucvts.t
SpaceY is a new startup looking to build all-terrain vehicles for NASAs upcoming
manned missions to Mars. Their first two products are a Rover and an Explorer,
both of which are comprised of wheels, a body, and fuel tanks. The Rover uses a
single set of w
Lucky Strike Oil Company
Input Data
oil A
oil B
oil C
cost per litre($)
Amount Availble
$
0.32
500,000
$
0.38
275,000
$
0.34
425,000
selling price regular
selling price ultra
Regular gas must be at least 45% of oil A
Regular gas must be at most 25% of oil
Pick one ball at random.
What is the P( White)?
7
White
3
Red
Island Problem
The government of a small island community is
considering a policy that will control the
population on the island.
An experimental policy that they are
considering is to require
Investment
Model1
Input Data
TB
0.08
2
At least 30% investment in CS +TB
At most 40% Iinvestment in MM+MB
Max available to invest ($ millions)
MM
0.05
4
CS
Expected Returns
Max Investment($ millions)
CS
0.06
3
MB
0.03
1
MM
MB
4 6.66E-016
Csah
Complete Mod
Maggie Stewart
Decision: Number of ice cream bar
Maximize: Total Taste Index Points
Constraints: Max Fat, Max Calories
Input Data
Calories
Fat
Weight
Taste Index/gram
Taste Index/serving
each serving of
Snack Bar
Ice Cream Bar
120
160
5
10
37
65
85
3145
M
Egg Diet
Suppose you are interested in determining a minimal cost diet
which meets certain nutritional requirements. In particular the diet
must contain at least 3000 calories, 70 gm of protein, and 12 mg
of iron. The choice is limited to 3 foods and the
Investment
An investment company currently has $10 million to invest. The goal is to
maximize expected return over the next year. The risky investment
possibilities are summarized below. The company has specified that at least
30% of the MONEY INVESTED in
Egg Diet
Suppose you are interested in determining a minimal cost diet which
meets certain nutritional requirements. In particular the diet must
contain at least 3000 calories, 70 gm of protein, and 12 mg of iron.
The choice is limited to 3 foods and the
Lab 1 Maggie.Stewart.xls
Maggie Stewart loves desserts, but due to weight and cholesterol
problems, she has decided that she must plan her desserts
carefully. There are two possible desserts she is considering:
snack bars and ice cream. After reading the
Bass Music Company
Input Data
each
student
Model
professional
total used
Requirement
hours used
5
9
480
<=
480
metal used
17.5
22.5
1275
<=
1300
Profit/unit
$
330.00 $
850.00
$
43,200.00
Action Plan
# to make
15
45
Additional Constraints
at least make stu
par golf
Input data
cutting
sewing
finishing
inspection
Profit/bag
each
standard
deluxe
0.7
0.5
1
0.1
$
10.00
$
time
used
1
5/6
2/3
1/4
time
available
623.60
474.00
708.00
114.80
total profit
9.00 $
7,640.00
<=
<=
<=
<=
units
630 hours
600 hours
708 hours
Booster Shot Hot Sauce
Input Data
capsaicin (grams)
smokiness (grams)
colour (grams)
cost per kg
per kg
Chipotle New Mexico
Serano
2 2/3
4
18
50
3
2
60
95
5
11.75
7.5
units
500
1500
7000
<=
<=
<=
9.55
500
1700
7550
$
898.00
Action Plan
# of Kg
chipotle
se
Booster Shot Hot Sauce
Input Data
capsaicin (grams)
smokiness (grams)
colour (grams)
cost per kg
Chipotle
2 2/3
50
60
per kg
New Mexico
Serano
units
4
3
95
7.5
11.75
18
2
5
500
1500
7000
<=
<=
<=
9.55
500
1700
7550
$
898.00
Action Plan
# of Kg
chipotle
se
Comm 290 Quantitative Decision Making
Lecture 1B
Quantitative Decision Making
Do I want to open a hot sauce business?
How do I make hot sauce?
How much hot sauce should I make?
300 grams of dried peppers 1 bottle of hot sauce
This harvest we have 600 kg
o
Comm 290 Quantitative Decision Making
Lecture 4A
Multiple Optima
? ?
? ?
Can there be more than one optimal solution?
Multiple Optima
t
s
Sensitivity Analysis
For answering the question: How sensitive is the solution
to changes in inputs?
We typically c
Comm 290 Quantitative Decision Making
Lecture 3B
max 2s
s.t.
1s
2s
s 0,
+ 3t
+ 3t 18
+ 1t 11
t 0
Feasible Region
1s + 3t 18
t
Bric
ks
s
Feasible Region
2s + 1t 11
s
eel
Wh
t
s
Feasible Region
s 0
t
s
Feasible Region
t 0
t
s
Feasible Region
max 2s
s.t.
1s
Comm 290 Quantitative Decision Making
Lecture 5A
bin
of
nt
pe trai
Slo cons
g
din
iso Slop
pro e o
fit f
lin
e
bind Slope o
f
ing c
onst
rain
t
Slope:
Dont reduce
the fraction!
Announcements
Clicker grades are on Connect (the other Comm 290 site)
Thanksgi
COURSE: Comm 290 - Quantitative Decision Making
Course Syllabus
Sections 101, 102, 103, & 104
COURSE INFORMATION
Division: Operations and Logistics
Instructors: Greg WERKER (all sections until midterm) . HA 479
Brian GRAHAM (sections 101 and 102, after mi
My Connect
Courses
Library
Isabelle Zhang
Resources
94
Content Collection
H
Midterm Exam Review Test Submission: Practice Midterm Exam
2015W1COMM290101102103104Introduction
to
User
Isabelle Zhang
Quantitative
Course
2015W1-COMM290-101-102-103-104-Introduc
Comm 290 Quantitative Decision Making
Lecture 6B
Ladner Police Scheduling LP
The Ladner Police Department schedules ocers for 8-hour
shifts. The shifts begin at 8:00 am, Noon, 4:00pm, 8:00pm,
Midnight, and 4:00am. A ocer beginning a shift works for the
ne
My Connect
Courses
Library
Resources
Isabelle Zhang
95
Content Collection
H
Midterm Exam Review Test Submission: Practice Midterm Exam
2015W1COMM290101102103104Introduction
to
User
Isabelle Zhang
Quantitative
Course
2015W1-COMM290-101-102-103-104-Introduc
Comm 290 Quantitative Decision Making
Lecture 3A
Algebraic Model
There are three ways to represent an LP model in Comm 290:
1. Excel model
2. Algebraic model
3. Graphically
Variables
max 10s +
9d
s.t.
0.7s +
1d
0.5s + 5/6 d
1.0s + 2/3 d
0.1s + 1/4 d
s 0,
Comm 290 Quantitative Decision Making
Lecture 4B
Review
Sensitivity Analysis
Sensitivity analysis on:
an objective coecient:
Allow & Allow
The slope of the isoprofit line
is between the slope of the
two binding constraints.
Sensitivity analysis on:
a RH
Comm 290 Quantitative Decision Making
Lecture 2B
Binding Constraint
amount used = amount available
left-hand side = right-hand side
LHS = RHS
Sometimes it is useful to think in these terms:
all of the resource is consumed / used
nothing is leftover / unus
Tables & Chairs Example
A company makes tables and chairs with raw materials available.
Tables and chairs require both Long and Box like pieces. The
configurations are shown on the Shapes Worksheet.
Tables have a profit of $16 each; chairs have a profit o
Par Golf:
Par Golf is a small manufacturer of golf equipment and supplies. Par has
been convinced by its distributor that there is an existing market for both
a medium priced golf bag, referred to as the standard, and a high priced
golf bag , referred to
Par Golf:
Par Golf is a small manufacturer of golf equipment and supplies. Par has
been convinced by its distributor that there is an existing market for both
a medium priced golf bag, referred to as the standard, and a high priced
golf bag , referred to
Lab 1 Maggie.Stewart.ST.xlsx
Maggie Stewart loves desserts, but due to weight and
cholesterol problems, she has decided that she must plan her
desserts carefully. There are two possible desserts she is
considering: snack bars and ice cream. After reading