P$6\mathrm{.}2$ Refer to problem $6\mathrm{.}1.$ Assume that the $3$ patient services departments are adult services, pediatric services, and other services.$$ The patient services revenue and hours of housekeeping services for each department are as follows:

Department $$Revenue$$ Housekeeping hours

Adult services $$$$3,000,0001,500$

Pediatric services$1,500,0003,000$

Other services$500,000500$

Total $$$$5,000,0005,000$

a$.$ What is the dollar allocation to each patient services department if patient services revenue is used as the cost driver?