You work for a firm that has a 40% market share in the industry. Market research you performed says that total demand for the product is 200,000 units. Given that the total cost function is the following: TC = 4,800 K + 100 L The production function that you derived for the firm is the following: Q = 4 K0.7L0.3 Solve for the optimal units of labor (L) and capital (K) which will lead the firm to minimize its total cost using the Lagrangian Multiplier Method. What is the minimum level of total cost? What would happen if there is a shift in the industry which increases the firm's market share from 40% to 45%? How does it affect your total cost