Four people are sharing a house. They like cake (X), which is a private good and costs S per slice, and television. Which is a public good and costs 10 per inch (Y is the size of the television in inchest. All the housemates, if have the same utility function: Ui=XiY1 What is the optimum size for their television? 28 inches 22 inchies 32 inches 36 inches 20 inches.