Suppose the market for good X is competitive. Assume there are 1000 firms in this market and all these firms are identical. Table 1. attached, provides the market demand and supply for good X (in thousand units). Suppose the firm's objective is to maximize profit and its average total cost for producing the profit-maximizing quantity is $30.

(a) Use the given information below in Table 1. to draw the diagrams to represent the market equilibrium and firm equilibrium. Label the equilibrium price and quantity of the market and the equilibrium quantity of the firm.

(b) Determine and describe the initial market equilibrium price and quantity, consumer surplus, producer surplus, and total surplus.

(c) Determine and describe the firm's equilibrium quantity and profit. Can this firm continue to make the profit in the long run? Explain.

(d) Assume a firm, in the long run, produces 400 units and the firm's minimum average total cost is $20. What is the new market equilibrium price and quantity and how many new firms have entered the market? Assume the new firms and existing firms are identical.

(e)Suppose the government decided to set a price ceiling of $20 per unit. Use your diagram from part(a) to determine and explain how the price policy affects the market, consumers, and producers, and market efficiency

Table 1: Market demand and supply for good X at the given price. Price per unit Quantity demanded Quantity supplied (in thousand units) (in thousand units) 0 1000 0 10 900 100 20 800 200 30 700 300 40 600 400 50 500 500 60 400 600 70 300 700 80 200 800 90 100 900 100 0 1000