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A firm operates with the production function Q = 1.4K 0.4 L0.5.
(a) If the prices of labor and capital are $10 and $20, respectively, and the firm's allocates only $8,000 a day for production costs (net of fixed cost) how many units of output can the firm produce? (Use the substitution method).
(b) How many units of labor and capital does firm employ?
(c) If the price of the good is $35 per unit, what is the daily profit of this firm?
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The production function
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