Orientation: How This Course Works
Course Tools
1) Required Texts (see Syllabus)
2) Computer with Internet Access
It is best if you use the latest version of Internet Explorer to log in to you Blackboard Account. All
Announcements, lessons, assignments, p

Solutions to Homework #2
Section 2.3, #11
Let R = number of radios
T = number of TVs
S = number of stereos
2 R 12T 15S 1500
R 8T 6 S 920
The cost function is f ( R, T , S ) 8 R 60T 45S
R, T , S 0
Section 2.4, #4
Let xij = the number of items shipped from

Solutions to Exam 2, Spring 2009
You must show all your work. The number of points earned on each problem will
be determined by how well you have justified your work.
1. Solve the linear programming problem by finding the dual and solving it graphically.

Linear Programming
Solutions to Exam 1
You must show all your work. The number of points earned on each problem will
be determined by how well you have justified your work.
Use a graph to find the maximal value of the function f ( x, y ) = 8 x 4 y subject

Homework #6
Section 5.1, #7
Exercise 7.
We model the problem with the following linear program:
maximize z 40c 9 p
10c 3 p b1
subject to
15c 2 p b2
Considering the dual, we have
minimize v b1 y1 b2 y2
10 y1 15 y2 40
subject to
3 y1 2 y2 9
On graphing the

Homework #7
Section 5.3,#9
a. The monthly production schedule of Process 1 will not be used until c1* is less than 0.
That is, the cost of $65/hour would need to be reduced by more than $46.25/hour.
b. We want the components of c* to be nonnegative. That

Homework #8
Section 5.6#4b
Since we are changing the constant, the original value of z = 110 is also changed in that it
20
was derived from the three equations which included the constant column 10 . We now
60
have the objective function derived f

Homework #5
Section 4.5
Exercise 4 e. We first check if the point (0,3,12) yields any slack in the constraints of the
given linear program problem.
3(0) 6(3) 2(12) 6 6 no slack
0+3(3)+12=21>20 there is slack
4(0) 7(3) - 3(12) -15 15 no slack
By the comple

1000 - 1600 is the Medieval time erra
Theologian was the dominant trait
Anselm was a member of Scholasticism (the system of theology and philosophy taught in medieval
European universities, based on Aristotelian or basic logic and the writings of the earl

Chapter 11
Language is important. Seriously. Picking the right word for your thinking will determine how you
respond to an event.
Doesnt mirror reality, it creates it. When you are looking for just the right word you are generally looking
for just the rig

Gabriel Rosales
US History II
Danielle A. Bible
Main Idea and Synthesis
With emerging colonies comes many issues. The older settlers are often felt they are
being steam rolled over and their only option is to either accept what is happening and move
along

Govt. 2305: Final Review
These are not exactly the questions that will be on the Final, but if you know the answers to everything
here, you will know the answers to the midterm. The Final will be both multiple choice and essay
questions. You will need an

The Ontological Argument
I have to disagree with both philosophers on their arguments for the existence of God,
however Gaunilos argument was more convincing. He provided a definition of God and gave an
analogy of how Anselms logic could be applied to any

INFORMATIVE SPEECH OUTLINE
Students Name: Gabriel Rosales
Topic: Peacock Mantis Shrimp
General Purpose: To inform on why the Peacock shrimp is the most unusual living thing
Specific Purpose: to inform my audience why the peacock mantis shrimp is the most

Create a campaign plan that will be followed throughout a campaign.
Needs to be planned before you begin. There will be no time or energy available during
the campaign.
Follow at all costs unless things change dramatically.
Write it down, dont work li

Solutions to Homework #1
9. Let x = number of pounds of Insecticide #1 (crude insecticide)
Let y = number of pounds of Insecticide #2 (refined insecticide)
Let s = cost of a 10-pound bag of Insecticide #1
x
y
Cost function: f ( x, y, s ) s ( s 4)
10