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Suppose a corn producer tries to maximize the total revenue P × Q, where P is...

Suppose a corn producer tries to maximize the total revenue P × Q, where P is the price of corns ($/bushel) which the producer takes as given, and Q is the total quantity (bushels). The producer is facing the following market demand: Q = 100 − 2P. What is the optimal level of corns that the producer produces? What is the corresponding total revenue? (Hint: setup as a constrained maximization problem and take the first order condition.)

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