An athletic director must order football programs well in advance of game day. She pays $0.50 for each program, and the selling price to fans is $3.00. Programs not sold at the game can be sold to the college bookstore for $0.10 each.
Demand at the game is normally distributed, with μ = 3000 and σ = 500. To maximize expected payoff, how many programs should the athletic director order?