# Tom Morley's 4580

Hello.

Welcome to Mathematics 4580, Spring quarter 2001.

Linear Programming

Class is MWF 8 in Instructional Center 215

Welcome to Mathematics 4580, Spring quarter 2001. My office hours are MWF 9:15-9>50 in Skiles 148 or the Math Lounge -- Skiles 236. TuTh hours are to be arranged.

The textbook is Vasek Chvatal, Linear Programming . We will start by covering chapters 1 through 10, and then see where we are, and what the class interests are.

HW: Due April 16

• Chapter 15, page 237: #15.1, 15.4, 15.8,15.13
• Show that (1/3, 1/3,1/3) (for both 1st and second player), is an eqilibrium for the bio-matrix game given as follows. (The entris (a,b) are the payoff to A and the payoff to B.)
```
(2,1)    (0,0)    (1,2)
(1,2)    (2,1)    (0,0)
(0,0)    (1,2)    (2,1)

```
Are there any other equilibria?

Homework .. due March 14 (locally) :

• Chapter 17: # 17.2
• Chapter 13: 13.2a, 13.4, 13.5

Homework.. Due Febuary, 21 *Locally*

• Chapter 7, page 116, #7.1
• Chapter 9, page 146, # 9.7

Computer project #1

This project is to (start) to construct a reasonable diet problem.

The diet problem should consist of 9-15 foods. These should include food that you like.

The project shouid be doen in groups of 2-3 people, where possible.

Minimize cost. Look it up in the grocery store, or guesstimate.

When you have set things up -- post your problem - with explination here: Linear Co-web

This is a co-web, that is user editable web pages.

The constraints include the following

• Between 3000 and 3500 calories.
• At leart the RDA of folic acid
• At least 3 grams of omeaga three fatty acids.
• At least 150 grams of protien
• At least 50 grams of fat, but very little saturated fat
• No more than 120 grams of fat
• At least the RDA of vitamin C
• Adequate fiber (you look up how much).

The values of the above nutients for all koinds of food can be found at the USDA nutrient data base. RDA is "recomended daily allowance. Look it up.

Fats are listed in this dat base as "lipids". For instance "16:1" means a fat with a carbon chain of 16, with one unsaturated bond. The omega three fatty acids are: 18:3, 20:5 and 22:6. Fats have 9 calories per gram.

Protien and carbohydrates have 4 calories per gram.

The project is emarly to SET UP THE PROBEM (and post it on a web page I will provide for you.)

Start NOW!

Homework Set #2, Due Monday Feb 5.

• Chapter 1, page 10, #1.6
• Chapter 5, page 69, # 5.3,5.7
• Chapter 6, page 95, #6.2,6.4, 6.8

Homework Set Number 1 -Due Friday Jan 19 (On Campus)

• page 9, 1.4,1.8
• page 43: 3.1, 3.2,3.9a
The grade will be based on a series of Homework assigments (55%), together withgroup computer project(15%), and the final (30%), which will be open book and notes.
Old (previous terms) 4580 stuff