Question: help me solve this: It costs $ 5 each to make PI - day T - shirts. You sell them for $ 1 2 each

help me solve this: It costs $5 each to make PI-day T-shirts. You sell them for $12 each on PI-day. You anticipate demand to have U [40,160] distribution. How many should you make to maximize expected profit?
What if the day after PI day, you can sell leftover T-shirts for $3 each? What if you must pay a $1 storage and disposal fee for every unsold T-shirt?

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