5. There are n firms in a competitive industry. The market demand function is given by p = 10 – Q. A firm's cost function is c(q) = a. The government provides a proportional subsidy rate s > 0 for firms to help them get through the difficult time of a pandemic. That is, the firm earns (1+ s) p for each unit of goods sold. Show that the the total surplus strictly increases with s.

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A: Gh