$.$ Flintstone has quasilinear preferences and his inverse demand function for Burgers is P$($b$)=302$b: He is currently consuming $10$ burgers at a price of $10$ dollars. $($a$)$ How much money would he be willing to pay to have this amount rather than no burgers at all? What is his level of $($net$)$ consumer's surplus? $[[$ans: He will be willing to pay $$200($the area under his demand curve up to his consumption of burgers. His consumer's surplus is $$100($the trigular area bounded by the demand and the price he pays$).]]($b$)$ If the price of burgers increases from $$10$ a burger to $$14$ a burger, what is Flintstone's change in consumer's surplus? $[[$ans: At price $$10,$ consumer's surplus is $$100.$ At $$14,$ he demands $8$ burgers, for net consumer's surplus of $(168)=2=64.$ The change in consumer's surplus is $10064=36.$