Moe is deciding how much Regular Duff beer and how much Duff Strong beer to order each
week. Regular Duff costs Moe $1 per pint and he sells it at $2 per pint; Duff Strong costs Moe $1.50
per pint and he sells it at $3 per pint. However, as part of a complicated marketing scam, the Duff
company will only sell a pint of Duff Strong for each two pints or more of Regular Duff that Moe
buys. Furthermore, due to past events that are better left untold, Duff will not sell Moe more than
3,000 pints per week. Moe knows that he can sell however much beer he has. Formulate a linear
program for deciding how much Regular Duff and how much Duff Strong to buy, so as to maximize
Moes profit. Solve the program geometrically.