4. The following is a cost function for clinic visits in a small inner city clinic:
Quantity of Visits Total Cost per Week
0 $10
1 15
2 25
3 45
4 75
5 115
6 165
a. Determine the marginal cost for each level of output
b. If the price per visit is given to be $25, at what level of visits will the maximum profit position be? What are the profits at this level? What is the quantity supplied?
c. If the price per visit increases to $45, what will be the quantity supplied (assuming maximizing profits)?