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An auto manufacturer uses capital K (heavy machinery) and labor L (workers employed per day) to produce pickup trucks according to the function: Q =

An auto manufacturer uses capital K (heavy machinery) and labor L (workers employed per day) to produce pickup trucks according to the function: Q = 32L - 0.5L2 + 85K - 0.2K2 where Q is the number of pickups produced per day. Each worker costs $200 per day to employ and each piece of machinery costs $1,200 per day to run. Each pickup can be sold for $25,000. Assume the manufacturer is a price taker who cannot influence the price charged for trucks. In the short run the number of machines as fixed at 10 units. what is the short one optimal choice of L

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