A home healthcare agency employs registered nurses (RNs) and certified nurse's assistants (CNAs). An individual RN performs 100 medical care procedures and 40 patient welfare tasks per month, and an individual CNA performs 15 medical care procedures and 280 patient welfare tasks per month. Enough RNs and CNAs are needed per month to perform at least 500 medical procedures and at least 1500 patient welfare tasks. Monthly labor costs are $16000 per RN and $3000 per CNA. The agency wants to minimize labor costs. Let x represent number of RNs employed per month and y represent number of CNAs employed per month.
Identify constraint on monthly number of medical care procedures performed:
State the objective function.