Please read the scenario below before proceeding to part A$.$

Scenario: Doll Crafters is planning on setting up a distribution network.

Dolls from various factories must be transported to the various retail locations.

Factories are as follows $($with the number of with number of doll production capacities$)$

Briargate $(400)$

Austin Bluffs $(1600)$

Black Forest $(200)$

Cimmaron $(1300)$

Knob Hills $(500)$

There are three retail locations $($with demand$)$

Air Force Academy $(1000)$

Colorado College $(1000)$

PPSC $(1500)$

The respective transportation cost $($$$)$ per doll is given as follows: