47 Tyler consumes video games and other goods. His utility fun

Tyler consumes video games and other goods. His utility function is… Tyler consumes video games and other goods. His utility function is ?(?,?)=100?-(x^2)/2 +?,where ? is the number of video games consumed, which is an integer amount, and ? is themoney to be spent on other goods. Tyler has an income $10,000. Suppose the price of video gamesincreases from $50 to $80.(a) How does Tyler’s net consumer’s surplus change as a result of the price change?(b) Calculate the compensating and equivalent variations for Tyler.(Hint: With a quasilinear utility function ?(?,?)=?(?)+?, the inverse demand function forthe ?-good is given by ?(?)=?'(?).)Business Economics