3. Each of 10 identical firms in the perfect competitive chicken industry have a short run cost curves given by TC(q) = 10q + 0.05q2 and MC(q) = 10 + 0.1q, where q is the amount of chicken produced by an individual firm. There are 10,000 identical consumers in the market. Each consumers (inverse) demand for chicken is p = 46 20q, where q is amount of chicken demanded by individual consumer and p is market price of chicken. (a) Derive short run supply curve of an individual firm in this market. (b) Derive the market supply curve. (c) Derive the market demand curve. (d) Derive the market equilibrium price and the market equilibrium the output. (e) Derive profit of each firm