J |_ There is a single production technology available to firms that might choose to operate in the market for hammers. Suppose all firms have access to a technology that gives the following total cost (T C) for producing a quantity (Q) of hammers: TC: 12 + 50+ 302, for any Q> 0. The marginal cost of producing hammers is MC: 6Q+ 5. a. What is the equation for the average variable cost (AVC) and the average total cost (ATO)? b. If the price of hammers is P, find the short-run supply curve of a single firm, for all possible prices P> 0. For the following two parts suppose that there is free entry into the hammer market, and the cost functions of firms don't change. The market demand for hammers is given by Q\": 1150 - 50F. c. What is the long-run equilibrium price in the market and how much does each firm produce at this price? d. How many firms in total are in the market