The following costs were incurred by Wildhorse Company in purchasing land: cash price, $$83,000$; legal fees, $$2,500$; removal of old building, $$5,500$; clearing and grading, $$3,500$; installation of a parking lot, $$5,400.$

$($a$)$ What is th$$ cost of the land?

Cost of land $

$($b$)$ What is the cost of the land improvements?

Cost of land improvements $