CMS Inc. is a large manufacturer of industrial parts and components based in Chicago, IL$.$ The company distributes their products through a network of three warehouses located in Atlanta, GA; Charlotte, NC; and Jacksonville, FL$.$ The companys customer base includes original equipment manufacturers across Southeastern U$.$S$.$ The monthly demand aggregated by state is shown in the table below:

State Demand $($cases$)$

AL $490$

FL $1880$

GA $1060$

KY $467$

NC $1049$

SC $515$

TN $685$

VA $854$

Each warehouse can handle a limited number of cases per month. The warehouse capacities are listed below:

Atlanta, GA: $3500$ cases

Charlotte, NC: $3500$ cases

Jacksonville, FL: $3500$ cases

It costs $1\mathrm{.}8$ $$/$mile to ship one case from the manufacturing plant to the warehouses. The distances $($in miles$)$ from the plant in Chicago, IL to the three warehouses are displayed in the following table:

Atlanta, GA Charlotte, NC Jacksonville, FL

Chicago, IL $7177561100$

Similarly, the company spends $6\mathrm{.}7$ $$/$mile to move one case of products from the warehouses to the different customers states. The distances $($in miles$)$ between the warehouses and states are shown in the table below:

AL FL GA KY NC SC TN VA

Atlanta, GA $1895095490304351280581$

Charlotte, NC $4585242764405217481310$

Jacksonville, FL $372141368746420238617656$

According to a distribution network optimization conducted $5$ years ago, all the demand from AL$,$ GA$,$ KY$,$ SC$,$ and TN is shipped from the warehouse located in Atlanta, GA$.$ The warehouse in Charlotte, NC currently serves NC and VA$.$ Finally, the warehouse in Jacksonville, FL only serves FL$.$

Build the model, but don't run it yet. Based on the current customer allocation, what is the actual transportation cost $($inbound $+$ outbound costs$)?$

Round your answer to the nearest integer.