$1$ Assume that a primary care physician performs only mental examinations. However, there are four levels of exams: A$,$ B$,$ C$,$ and D$.$ An RVU analysis indicates that a level A exam requires $10$ RVU's, level B requires $20$ RVU's, level C requires $30$ RVU's, and level D requires $40$ RVU's. The total cost to run the practice is $$1,000,000$ annually. The number of exams administered annually are $10,000$ for $A,8,000$ for $B,6,000$ for $C,$ and $4,000$ for $D.$

a$)$ using RVU methodology, what is the estimated cost per type of exam?

b$)$ If the goal of the practice is to earn a $20\%$ profit margin on each examination, how s$$ the exams be priced?

c$)$ If the goal of the practice is to earn a $40\%$ profit margin on each examination, how s$$ the exams be