4. There are n firms in a competitive industry, with the following market p=50-2Q. A firm's cost function is q². To mitigate the negative impact of the pandemic, the government provides a per-unit subsidy s> 0 to the firms. That is, for each unit of goods sold, the firm receives p+s in total, where p is paid by consumers and s by the government. So the profit of a firm is π = (p+s)q-q². Derive the consumer surplus, denoted by CS. Is this subsidy policy effective at stimulating goods surply and benefiting consumers? Explain the intuition of your answer. demand:
4. There are n firms in a competitive industry, with the following market p=50-2Q. A firm's cost function is q². To mitigate the negative impact of the pandemic, the government provides a per-unit subsidy s> 0 to the firms. That is, for each unit of goods sold, the firm receives p+s in total, where p is paid by consumers and s by the government. So the profit of a firm is π = (p+s)q-q². Derive the consumer surplus, denoted by CS. Is this subsidy policy effective at stimulating goods surply and benefiting consumers? Explain the intuition of your answer. demand:
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.8P
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