Linear programming
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Class date(s):  07 January to 04 February 2015  
 
 
 
 
 
 
 
 
References
Dr. Marlin has made a great, short ebook on Linear Programming. You will find reading his notes very rewarding, and a great supplement to the class lectures.
Resources
Scroll down, if necessary, to see the resources.
Date  Class number  Topic  Slides/handouts for class  References and Notes 

07 January  01B 


12 January  02A 

We covered topics on page 11, 13, 14 and 17 of the notes by Marlin (see comment above).  
14 January  02B 

We covered topics on page 21 to 29 of the notes by Marlin, however, I did not focus on the mathematical details; we only consider the geometric viewpoint in 4G3.  
19 January  03A 
 
21 January  03B 

See page 37 and 38 in Marlin's notes for an alternative visualization of sensitivity analysis.  
26 January  04A 


28 January and 04 February  04B 

The Rcode used to draw the plot in the class handout 2B and 3A.
plot(c(0, 100), c(0, 70), type = "n", xlab = expression(x[1]), ylab = expression(x[2]), asp = 1)
abline(a=1500/10, b=16/10, lw=7) # Placement
abline(a=1000/12, b=10/12, lw=5) # Solder
abline(a=500/8, b=4/8, lw=3) # Inspection
abline(v=0, h=0)
title(expression("Objective: Maximize 10"~x[1]~"+ 15"~x[2]))
text(20, 55, expression("Inspection: 4"~x[1]~"+ 8"~x[2]~"+ "~x[5]~" = 500"), srt=332.5)
text(35, 57, expression("Solder: 10"~x[1]~"+ 12"~x[2]~"+ "~x[4]~" = 1000"), srt=319.5)
text(65.5, 50, expression("Placement: 16"~x[1]~"+ 10"~x[2]~"+ "~x[3]~" = 1500"), srt=301)
text(2, 30, expression("Nonnegativity: "~x[1]>=~"0"), srt=90)
text(45, 2, expression("Nonnegativity: "~x[2]>=~"0"), srt=0)
delta=2
text(0+delta, 0+delta, "[0]")
text(0+delta, 62.52*delta, "[1]")
text(62.5, 31.251.5*delta, "[2]")
text(87delta, 10.91.0*delta, "[3]")
text(93.752.1*delta, 0+1.0*delta, "[4]")