Review questions and exercises

1. What does optimization mean?
2. What is an LPP? What are its uses?
3. What is the difference between a global solution and a local solution?
4. In what situations would our LPP program not converge? Give a few simple examples and possible solutions.
5. Explain why we have the following weird result:

> f<-function(x)-2*x^2+3*x+1 
> optim(13,f) 
$par 
[1] 2.352027e+75 
$value 
[1] -1.106406e+151 
$counts 
function gradient  
     502       NA  
$convergence 
[1] 1 
$message 
NULL

6. What does quadratic equation mean?
7. From where could we search all the R packages targeting optimization issues?
8. What is the usage of the task view related to optimization?
9. According to the related task view, how many R packages are associated with optimization, and how do we install them all at once?
10. From the Prof. French Data Library, download the return data for 10 industries...