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Two firms compete in a Bertrand setting for homogeneous products. The market demand curve is given...

Two firms compete in a Bertrand setting for homogeneous products. The market demand curve is given by Q = 100 – P, where Q is quantity demanded and P is price. The cost function for firm 1 is given by C(Q) = 10Q and the cost function for firm 2 is given by C(Q) = 4Q. What is the Nash-Equilibrium price? What are the profits for each firm in equilibrium?

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