Another branch of GABA company has provided you with the following information regarding their routs and costs.

Destinations

Origins Pittsburgh Chicago San Jose Supply

Chattanooga $3428373250$

Memphis $4828583750$

Nashville $5260423000$

Demand $550025002000$

There has been an increase in demand, and the company is planning to open a new production factory either

in Minneapolis or in Little Rock to meet extra demand of $4500$ cases per week.

If the factory is built in Little Rock, the transportation costs to the three destinations are:

Factory Pittsburgh Chicago San Jose

Little Rock $446423$

If the factory is built in Minneapolis, the transportation costs to the three destinations are:

Factory Pittsburgh Chicago San Jose

Minneapolis $464261$

Where should the company build the new factory? Show your complete work.

Total Cost

Solve this problem and write the total cost here.