3. Suppose Northvale Golf Club in Technical Problem 2 also has a second group of 100 identical golfers, weekend players, who wish to play at the club. The demand for rounds of golf by each one of the 100 identical weekend golfers is given by DWK in Panel B of Figure 14.4. Assume the same cost structure as given in Technical Problem 2. The manager designs an optimal two-part pricing plan for these two groups of golfers.

a. The optimal green fee to set for each round of golf is $ .

b. The optimal annual membership charge is $ for senior golfers and

$ for weekend golfers.

c. Under this two-part pricing plan, Northvale’s annual profit is $ .