Question: A perfectly competitive industry consists of two types of firms: 100 firms of type \(\mathrm{A}\) and 30 firms of type \(\mathrm{B}\). Each type A firm has a short-run supply curve \(S_{A}(P)=2 P\). Each type B firm has a short-run supply curve \(S_{B}(P)=10 P\). The market demand curve is \(\mathrm{D}(\mathrm{P})=5000-500 \mathrm{P}\). What is the short-run equilibrium price in this market? At this price, how much does each type A firm produce and how much does each type B firm produce?

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