Solve the comple question and explain in detail. step by step.

During the war in Afghanistan, the Terrace Motor Company produced a lightweight, all$-$terrain

vehicle code$-$named $"$J$99$ Terra" for the military. The company is now planning to sell the Terra

to the public. It has five plants that manufacture the vehicle and four regional distribution centers.

The company is unsure of public demand for the Terra, so it is considering reducing its fixed

operating costs by closing one or more plants, even though it would incur an increase in

transportation costs. The relevant costs for the problem are provided in the following table. The

transportation costs are per thousand vehicles shipped; for example, the cost of shipping $1,000$

vehicles from plant $1$ to warehouse $C$ is $$32,000.$