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A local fruit orchard sells peaches to both a local farmers market and to a grocery store chain. The demand function for the farmers market

A local fruit orchard sells peaches to both a local farmer’s market and to a grocery store chain. The demand function for the farmer’s market is q_F=800-200p_F, and demand for the grocery store chain is q_G=600-100p_G. The total cost of supplying peaches to market is TC(Q)=2Q+400 where Q=q_F+q_G. Note that quantity is measured in pounds of peaches. What is the profit-maximizing price the orchard should set in each market? How many pounds of peaches will be sold to each market? What is the orchard’s profit?

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