3. In a function particular county in California, the demand function for each person i for a particular kind of good is Q = 150+.15 * I 5P where Q denotes the quantity demanded for person i, I, is the income for person i, and P is the price of the good (which remains constant). The supply function for this particular good is Q =-30+10P where Q is the quantity supplied of the good by firm j. There are 5 firms total, and 100 consumers total. Further assume that the total income for the area is $50,000. 100 (a) Find Q. Note, your answer will be in terms of unknown price P. (b) Find. Note your answer will be in terms of unknown price P. (c) Find the price P where the total quantity supplied is equal to the total quantity demanded. (d) Find the price P where the total quantity supplied is one half that of the total quantity demanded.