In: Economics
Consider the market for a good in which there are two income groups of buyers. There are 10 buyers with income $28 and 8 buyers with income $36. All buyers have the same utility function u = 16q − q2 + m, where q denotes the amount of the good and m the money left after buying the good. Denote the price of the good by p.
(a) For each income group, determine the individual demand of a buyer.
(b) Find the market demand and draw the demand curve.
(c) Consider an individual buyer in income group $28. For the following prices, determine how much money is left with the buyer after buying the good: (i) p = 7, (ii) p = 10.
(d) Consider an individual buyer in income group $36. For the following prices, determine how much money is left with the buyer after buying the good: (i) p = 7, (ii) p = 10.