QUESTION $5$

You are an operations manager who is developing a transportation plan for your company. To generate this plan you will be using the transportation matrix you learned in your operations management class in college. You have warehouses in three cities, Houston, St$.$ Louis, and Chicago. You also have three stores that receive the items from the warehouses. These stores are located in Denver, Yuma, and Miami.

The number of units shipped between Houston and Denver is $350$ units and costs $$200.$ The number of units shipped between Houston and Yuma is $150$ units and costs $$300.$ The number of units shipped between Houston and Miami is $200$ units and costs $$350.$

The number of units shipped between St$.$ Louis and Denver is $350$ units and costs $$200.$ The number of units shipped between St$.$ Louis and Yuma is $100$ units and costs $$350.$ The number of units shipped between St$.$ Louis and Miami is $100$ units and costs $$325.$

The number of units shipped between Chicago and Denver is $200$ units and costs $$300.$ The number of units shipped between Chicago and Yuma is $200$ units and costs $$450.$ The number of units shipped between Chicago and Miami is $400$ units and costs $$400.$

The available supply at the warehouses is as follows: Houston $=700,$ St$.$ Louis $=550,$ and Chicago $=8000.$

The requested demand at the stores is as follows: Denver $=900,$ Yuma $=450,$ and Miami $=700.$

What is the na$$ve$/$unoptimized cost to the nearest whole number?