When completing the industry analysis you should assume that firms are engaged in Cournot Competition. Select a typical product of Lam Son Sugar Corporation and complete the following tasks: 1. Collect some recent data on the price and quantity of your selected product. Run a simple regression to estimate the market demand function of your selected product D = a + bP (D is the quantity, P is the price). Derive inverse demand function. 2. Collect relevant data on variable costs and fixed costs of Lam Son Sugar Corporation. Derive total revenue and total cost functions for Lam Son Sugar Corporation. Use QA to indicate the quantity of Lam Son Sugar Corporation. Use X to represent the combined quantity provided by all other firms. 3. Using the cost function from Question 2, derive a profit function for Lam Son Sugar Corporation. 4. Derive the best-response function for Lam Son Sugar Corporation. 5. Find the equilibrium quantity of Lam Son Sugar Corporation as a function of the total number of firms competing in the market. Use N to represent the total number of firms competing in the market. 6. Find the equilibrium producer surplus of Lam Son Sugar Corporation as a function of N. 7. Complete any additional calculations or graphs that you require to support your recommendation.