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A bowling ball manufacturer has theCobb-Douglas Productivity Model A bowling ball manufacturer has the Cobb-Douglas Productivity Model Q(x,y) = 0.75x0'65y0'35, where x is labor (in

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A bowling ball manufacturer has theCobb-Douglas Productivity Model

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A bowling ball manufacturer has the Cobb-Douglas Productivity Model Q(x,y) = 0.75x0'65y0'35, where x is labor (in thousands of employees): y is capital (in thousands of dollars): and Q is the number of bowling balls produced (in thousands). a) Find QX and Qy. QX = (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Type your answer using exponential notation.) Q = y (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Type your answer using exponential notation.) b) If the factory currently uses 13,700 employees and $1,100,000 of capital, nd the marginal productivity of labor and the marginal productivity of capital. The marginal productivity of labor is . (Round to the nearest whole number as needed.) The marginal productivity of capital is . (Round to two decimal places as needed. 0) Would production increase more rapidly with 2,700 more employees or $250,000 additional capital? 0 $250,000 additional capital 0 2,700 more employees

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