The chair-making industry currently consists of 90 producers all of whom operate with the identical short-run total cost curve STC(Q)=500+3Q2 where Q is the annual output of a firm. Only $200 of each firms fixed cost is sunk. The market demand curve for lamps is D(P)=2880-P where P is the market price.a) What is the marginal cost curve for each firm?b)Compute the individual firms shutdown pricec) What is the individual firms short-run supply curve? [Write the formula(s) for quantity as a function of price.]d) What is the short-run market supply curve? [Write the formula(s) for quantity as a function of price.]e) Determine the short-run equilibrium price total market quantity and quantity per firm in this industry