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32. The long-run cost function of a rm in a perfectlv competitive market is given by Clq)=200q-10q2+.5q3. where q is rm output. Market demand is given by QD=20,000-10P. where Q is market output and P is price. (a) Solve for the long-run equilibrium values of price, output per rm, the number of rms and market output. (bl Suppose that market demand increases by 4,500 units at each price. Solve for the new equilibrium values of price. output. output per rm and number of rms in the long-run equilibrium. (cl Return to the original demand function used in part 3}. Now suppose that a change in tastes means that consumers are willing to pay $100 more for each unit of the good. Solve for the new equilibrium values of price, output, output per rm and the number of rms in long run equilibrium