(a) Suppose that each firm in a competitive industry has the following identical costs: Total cost: TC = 25+0.25Q2, where Q is an individual firm's quantity produced. The market demand curve for this product is as follow: Demand: P=60-0.095Q, where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm's fixed cost, variable cost, and its marginal cost. (5 marks) (ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm's supply function is Qi= a+bP then the market supply Om can be the aggregated supply at each price as Om = Q1+02+03+... +Qi where Qi is each firm's supply function.) (5 marks)0)) (iii) Calculate each nn's production quantity and prot (or loss) in the short run. Predict whether a rm will decide to leave or stay in the market as well as the long-run market equilibrium with free entry and exit. (5 marks) Suppose that only one rm, Big Foot, sells footballs in the country and international trade of footballs including both exporting and importing is prohibited by government due to Big Foot's successful lobby. The following equations indicates Big F oot's market demand and total cost: 0 Demand: P = 5-0.5Q 0 Total Cost: TC = 1.5 + 0.5Q + 0.25 Q2 where Q is quantity (in 1000) and P is the price measured in dollars. (i) Determine how many footballs Big Foot chooses to produce, the price it will set for its product and its expected prot. Illustrate your analysis with a proper market diagram. (9 marks) (ii) Evaluate the size of deadweight loss cause by monopoly status of Big Foot. Suppose that the parliament passed a new law that not only allows everyone to sell footballs but also opens international trade of footballs. Suppose further that the market demand in the country remains the same while the price of football in the competitive global market is $3 including shipping and importation fee. Analyse whether the country will import or export footballs after the deregulation. Predict the changes in Big Foot's short-run and long-run prot aer the market becomes perfectly competitive. (6 marks)