The Ali Baba Co. is he only supplier of a particular type of Oriental carpet. Th

The Ali Baba Co. is he only supplier of a particular type of Oriental carpet. The estimated demand for its carpets is Q=112000-500P+5M where Q=number of carpets P=price of carpets (dollars per unit) and M=consumers income per capita. The estimated averabe variable cost function for Ali Babas carpet is AVC=200-0.012Q+0.000002Q2 Consumers income per capita is expected to be $20000 and total fixed cost is $100000. a. How many carpets shold the firm produce in order to maximize profit? b. What is the profit-maximizing price of carpets? c. What is the maximum amount of profit that the firm can earn selling carpets? d. Anser parts a through c if consumers income per capita is expected to be $30000 instead.