a) Find Qx and 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 exponentia notation.) (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Type your answer using exponentia notation.) b) If the factory currently uses 2,200 employees and $750,000 of capital, find 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.) c) Would production increase more rapidly with 500 more employees or $250,000 additional capital?
a) Find Qx and 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 exponentia notation.) (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Type your answer using exponentia notation.) b) If the factory currently uses 2,200 employees and $750,000 of capital, find 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.) c) Would production increase more rapidly with 500 more employees or $250,000 additional capital?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a) Find Q, 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.)
Qy =
(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 2,200 employees and $750,000 of capital, find 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.)
c) Would production increase more rapidly with 500 more employees or $250,000 additional capital?
Transcribed Image Text:A bowling ball manufacturer has the Cobb-Douglas Productivity Model Q(x,y) = 0.75x0.0°y.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).
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