Problem 3. Bob spends his $100 income on kombuchatea drinks (it) and yoga lessons (y). Both goods are divisible, that is._ they can be consumed in any positive amount. Bob has wellbehaved preferences over (k, y) bundles: complete. transitive, monotonic and with a strictly decreasing marginal rate of substitution. Initially. kombucha costs $5 per unit and yoga costs $10 per unit. Bob is a ruthless utility maximizcr. At these prices, Bob purchases 4 units of kombucha and spends the rest of his income on yoga. (3.1} Graph Bob's initial budget constraint with kombucha (k) on the horizontal axis and yoga (y) on the vertical axis Label the intercepts, the slope and Bob's initial consumption bundle on the graph. (3.2} The price of yoga doubles. Draw the change to Bob's budget constrain on the same graph. (3.3} Uncle S. hears about the price increase and feels really bad for Bob. He sends a cash gift that would allow Bob to exactly afford his initial consumption bundle again. How much money did uncle S. send to Bob? (3.4} After the price increase and the cash gift from uncle S.._ is Bob strictly better off, strictly worse OH, or exactly indifferent? Explain how you readied your conclusion