4. A bakery advertises its bagels by noting either the price per dozen or per bagel and doesn't offer any quantity discounts. Thus, for example, if the price is $4.80 per dozen (i.e., for 12 bagels), then it is $0.40 per bagel. Since these prices are the same, the baker is not surprised to find that demand is the same no matter how she decides to quote the price. By using the per dozen price, the baker finds the demand function to be y = 100/p, where y is the number of dozens of bagels sold per day. a. Find the (own) price elasticity of demand for bagels by first taking logs and using the result that Ed = - din[y] din [p] b. Rewrite the demand function for bagels in terms of the variables y and p where y is the number of bagels sold per day and p is the price per bagel. Find the (own) price elasticity of demand for bagels using this demand function and show that the answer is the same as for part (a)