Question 1 This is the Featured Example from Lecture 4. Residents of Cavity City cares only about oral hygiene (good 3") and money for all other goods (good 3;]. Mr. 'Whiteteeth, a resident of the city, has a preference that can be represented by the utility function U(:r,y) = 4mm + ln 1;. The price of 1 unit of oral hygiene is $5. The price of y is $1. Mr. \"-"hiteteeth has an income of $203. You may also assume that, if Mr. 1rL-lv'hiteteeth spends no money on oral hygiene, he gets {1 unit of oral hygiene. (a) (Level A) Find the consumption bundle that maximises Mr. "Whiteteeth's utility. You may use either the tangency method or the Lagrangian method. (Hint: the derivative of Ina: with respect to I: is l f :r) (b) (Level A) On a clearly labeled diagram with oral hygiene on the horizontal axis, dramr Mr. 1'J'.-"hiteteeth:s budget line and indicate his optimal consumption bundle. Sketch the indifference curve passing through his optimal consumption bundle. (There is no need to dramr it to scale.)