When completing the industry analysis you should assume that firms are engaged in Cournot Competition. Step 1: Using the information provided in the scenario. derive a total cost function for a typical cardboard box manufacturer. Use 0a to denote the quantity produced by the typical firm. (4 marks) Step 2: Derive a profit function for the typical firm. Use X to denote the combined production of the remaining three firms in the market. (5 marks) Step 3: Find the profit of the typical firm if all rm's in the market sell at the current market price of $30. (8 marks} Step 4: Find the consumer surplus if all firm's in the market sell at the current market price of $30- (6 marks) Step 5: Derive the typical firm's best-response function. (8 marks} Step 6: Find the equilibrium quantity and profit for the typical firm. (11 marks) Step 7: Find the equilibrium price and consumer surplus. (7' marks) 2.2 Industry structure In Autarka. cardboard boxes are sold in bundles of 100. At present. the market price for a bundle of boxes is $30. The technology for manufacturing cardboard boxes is readily available and common to all manufacturers. The cost of plant and machinery for a firm in the box manufacturing business is $?,DUU.UUD per year. The labour. material. and energy cost of producing a bundle of 100 boxes is $20. A market study indicates that demand for cardboard boxes is given by the function, 0 P 2 4D _ 500.000' where P represents the price of a bundle of 100 boxes, and Q is the total number of bundles of boxes sold each year