$\backslash$table$[[$Supply Region,$\{$

$\backslash$table$[[$Demand Region$],[$Transportation Cost per $1$ million Units$]]\},$Low Capacity,High Capacity$],[$Fixed Cost $$,$Max. Cap.,Fixed Cost $$,$Max. Cap.$],[$N$.$ America,S$.$ America,Europe,Asia,Africa$],[$N$.$ America,$81,92,101,130,115,6,000,10,9,000,20],[$S$.$ America,$119,77,108,98,100,4,500,10,6,750,20],[$Europe$,102,105,95,119,111,6,500,10,9,750,20],[$Asia$,115,120,90,66,74,5,000,10,7,000,20],[$Africa$,142,100,103,105,71,4,000,10,5,300,20],[$Demand$,13,8,15,17,7,,,,]]$

Objective

Minimizing the total costs which consists of fixed cost and transportation cost, while meeting the demand in each region.

Decisions to make $1.$ where to open a facilty?

$2.$ what type of facilty to open at the selected region?

$3.$ how many units should be shipped from what facility to what region?

Constraints

there can only be at most one facility in each region

all the demand must be satisifed