A Firm with market power tries to set price for its product that faces a demand curve: Q = 15 - 0.05P The Marginal Cost function of the Firm can be presented as: MC = 50+10Q Please answer the following: 2 marks each 1 marks. Please write the inverse demand equation of the firm. 1 marks. Please present the Marginal Revenue equation of the Firm. 2 marks. What is the profit maximization output of the firm? (Assuming the firm is a price setter but cannot price-discriminate) 2 marks. What price will be charged by the firm to its buyers (consumers) assuming the firm can't price-discriminate? 5 marks. For the profit maximization output and price level, please calculate: The Consumer Surplus The Producer Surplus The Dead Weight Loss 2 marks. If the firm can practice perfect price discrimination, what is the firm's output level? 2 marks. What price customers (consumers) will pay the firm? 5 marks. For the perfect price discrimination output level, please calculate: The Consumer Surplus The Producer Surplus The Dead Weight Loss