Consider this short run production function q100l-lsup2, Microeconomics

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Consider this short run production function q100l-lsup2

Consider this short run production function Q=100L-L². Where Q is output level and L is labour input. The price of output is 50 and labour cost 1200 per hour. How many hours will the firm use to maximize profits? What is the profit maximizing level of output?

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