There are two movie theaters in the town of harkinsville: modern multi- plex, which shows first-run movies, and sticky shoe, which shows movies that have been out for a while at a cheaper price. the demand for movies at modern multiplex is given by qmm 14 pmm pss, while the de- mand for movies at sticky shoe is qss 8 2pss + pmm, where prices are in dollars and quantities are measured in hundreds of moviegoers. mod- ern multiplex has a per-customer cost of $4, while sticky shoe has a per- customer cost of only $2.