Doc Nix Productions sells specialty T-Shirts that are sold at a single basketball game each. Doc Nix is trying to decide how many to buy for an upcoming game. During the game itself, which lasts one evening, Doc can sell T-Shirts for $11 apiece. However, when the game ends unsold T-shirts have no value. Due to a licensing agreement, Doc needs to make sure that leftover shirts are destroyed using a method that ends up costing $0.25 for each unsold T-Shirt. It costs Doc $7.50 to buy a specialty T-Shirt from the supplier. The supplier he uses has a cost per shirt of $3. Doc estimates that demand is distributed as shown below. Demand 325 350 375 400 425 450 Probability 0.10 0.15 0.10 0.20 0.25 0.20 a) How many specialty T-Shirts should Doc Nix buy from the supplier to maximize his profits? b) What is his expected profit? c) What is the total supply chain profit? Demand 325 350 375 400 425 450 Probability 0.10 0.15 0.10 0.20 0.25 0.20.