Solve problem #$2$ on $129($page $134$ of the $6^{th}$ edition$)$ of the text book. I have posted the problem statement in Moodle.

I have also posted the suggestions as to how to build the model.

In addition, answer the following:

$($i$)$ Find the quantity shipped from each factory to each region.

$($ii$)$ How does the solution change if you are required to locate a plant in each location? Comment on the solution.

$($iii$)$ How does the solution change if you are required to set$-$up at least three plants?

$($iv$)$ Make necessary changes to the data so that the site, "New York" is never selected? Report the result with the changes made.