Question $2(20$ points$)$ The monthly Toronto Maple Leafs fan magazines are printed one week prior to the start of sales for each monthly issue during the season. Attendance averages $80,000$ screaming and loyal Leafs fans during the life of each issue. Two$-$thirds of these fans usually buy the program, following a normal distribution, for $$3$ each. Unsold programs are sent to a recycling centre that pays only $10$ cents per program. The standard deviation is $4,000$ programs, and the cost to print each program is $$1.$