The Rational Consumer $-$ End of Chapter Problem

Bruno is best friends with Ruby, who shares his love for energy bars and smoothies. The accompanying table shows Ruby's utilities from smoothies and energy bars.

$\backslash$table$[[\backslash$table$[[$Quantity of$],[$smoothies$]],\backslash$table$[[$Utility from smoothies$],[($utils$)]],\backslash$table$[[$Quantity of energy$],[$bars$]],\backslash$table$[[$Utility from energy bars$],[($utils$)]]],[0,0,0,0],[1,32,2,28],[2,60,4,52],[3,84,6,72],[4,104,8,88],[5,120,10,100]]$

The price of an energy bar is $$2,$ the price of a smoothie is $$4,$ and Ruby has $$20$ of income to spend. Answer the following questions using this information.