$\frac{?}{\text{b}\text{a}\text{r}}(25)$

$3.$ Depict on Utility Maximizing Rational Consumer F$\text{'}$s Budget Constraint her Utility Maximizing point of consumption $($between goods $x$ and $K).$ What is the determining condition of this utility maximizing point of consumption? Briefly $($up to $50$ words$)$ describe this condition.

Illustrate and describe $($up to $50$ words$)$ the differences between 'rational' consumer F$\text{'}$s and 'irrational' consumer G$\text{'}$s utility indifference curves? Where would 'irrational' consumer G$\text{'}$s pattern of consumption lie on his budget constraint?

State variables used to construct the graph$($s$)$ of your supporting analysis and illustrations.