CASE 2 The owner of a small local health club has estimated the demand for health club memberships, q, to be q0.06p + 46 where q is the number of members in the club and p is the annual membership fee she currently charges. Annual operating costs amount to only $5000 per year, and each member costs the club $100 per year for medical evaluation and personal training. What is the profit-maximizing number of members, and what range (the minimum and the maximum] of memberships make sense to remain in business