Consider a hypothetical perfectly competitive market for identical lunch boxes supplied to Monash students. All firms have TC=200+\frac12q^2, and market demand is Q_D=600-10P. Firms face identical costs, and entry and exit are free in the long run. Initially there are 20 firms, each producing 20 at price 20. A fixed licence fee of 250 per firm raises each firm's cost to TC=450+\frac12q^2. In the short run, the number of firms remains 20, and the fee is unavoidable. Find the new short-run equilibrium price.

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