Suppose you manage a firm with two production plants. The marginal product of labor at plant 1

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Suppose you manage a firm with two production plants. The marginal product of labor at plant 1 is MP1 = 1400 - L1 where L1 is the number of workers employed in plant 1. The marginal product of labor at plant 2 is MP2 = 2000 - L2 where L2 is the number of workers employed in plant 2. Given that you have 1,000 workers, what is the best allocation of workers between the two plants?

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