C$\mathrm{.}7$In Solved Problem C$\mathrm{.}1,$ Williams Auto Top Carriers proposed opening a new plant in either New Orleans or Houston. Management found that the total system cost $($of production plus distribution$)$ would be $$20,000$ for the New Orleans site. What would be the total cost if Williams opened a plant in Houston? At which of the two proposed locations $($New Orleans or Houston$)$ should Williams open the new facility? $[$PX$]$