Max loves yogurt. His favorite yogurt is Vanilla (s), however, he also consumes kiwi from time to time. From Max's perspective, he can consume 2 Kiwi (c) instead of 1 vanilla. The price of the Kiwi flavor is pe = $1.50 while the price of the vanilla flavor is ps = $2.00. Max has $10 to spend. (a) Write down two utility functions that represent Max's preferences. (b) Calculate the slope of Max's budget line and the marginal rate of substitution. (c) How much of each does Max optimally consume