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6. You are operating a firm that uses two inputs - x1 and x2 - to produce output, denoted y, according to the following production function y = f (21, *2) = 23: Your firm's output sells for a price of p = 4. x1 costs w1 = 2 per unit to hire, and $2 costs w2 = 1 per unit to hire. (a) The government has decided to subsidize the use of x1 and will pay your firm 0.5 for each unit of 1 that you hire. How many units of x, will the firm hire? How many units of x2 will the firm hire? How much output will the firm produce? How much profit will the firm make? (b) Compare your answer to Question 6a with your answer to Question 5c. How did the subsidy for *1 impact the demand for x1, the demand for $2, output, and profit?6. You are operating a firm that uses two inputs - x1 and x2 - to produce output, denoted y, according to the following production function y = f (21, *2) = 23: Your firm's output sells for a price of p = 4. x1 costs w1 = 2 per unit to hire, and $2 costs w2 = 1 per unit to hire. (a) The government has decided to subsidize the use of x1 and will pay your firm 0.5 for each unit of 1 that you hire. How many units of x, will the firm hire? How many units of x2 will the firm hire? How much output will the firm produce? How much profit will the firm make? (b) Compare your answer to Question 6a with your answer to Question 5c. How did the subsidy for *1 impact the demand for x1, the demand for $2, output, and profit