2. The manager of Claires has estimated the rm's total variable cost to be TVC = 209=+ 4q2 where TVC is in dollars and q is in units. Claires operates in a perfectly competitive market consisting of 50 identical rms. Fixed costs are $500. a. Assume that the market price is $100. How much output will Claries produce, and what is the associated prot (or loss)? Will the rm operate or shut down in the short run? b. Will the number of rms increase or decrease in the long run