(a) Suppose the price clasticity of demand (e N 1p n) for Nike shocs is .5. Suppose further that due to supply chain disruptions, Nike is forced to manufacture shoes in the US instead of overseas, leading to an increase in the cost of producing shoes. What will happen to Nike's total revenue for shoes? (b) Suppose x ∗=.25 a 2I. If I=100 and p x =10, calculate the price elasticity of demand and the income elasticity of demand. Comment on whether demand is elastic, unit elastic, or inclastic. (c) Suppose my income increases from $500 per month to $600 a month and I go from consuming I Patagonia vest a year to 3 Patagonia vests per year. What is my income elasticity of demand for Patagonia vests? Are Patagonia vests a normal or inferior good in this example? (d) Consider the demand curve for Otto's Sausages, given by Q=100−10P. Calculate the price elasticity of demand when P increases from $2 to $3. Now calculate the price elasticity of demand when P increases from $3 to $4. (e) What happens to price elasticity of demand as we move along the demand curve outlined above? Does this make sense cven though demand is lincar?