Suppose that the production function for a product is given by z=x´In(xy) , where x is the labor hours per worker, and y is the capital expenditure (in hundreds of thousands of dollars). When the labor hours per worker are 8, and the capital expenditure is 2 (hundreds of thousands of dollars), (а) Find the find marginal productivity of y when x = 8 and y = 2 (b) When x = 8 and y =2, use your answer in part (a) to calculate the approximate change in z if y increases 2 additional units while x remains unchanged. Show your reasoning

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the production function for a product is given by
z=x´In(xy) , where x is the labor hours per worker, and y is the capital expenditure (in
hundreds of thousands of dollars). When the labor hours per worker are 8, and the capital
expenditure is 2 (hundreds of thousands of dollars),
(а)
Find the find marginal productivity of y when x = 8 and y = 2
(b)
When x = 8 and y =2, use your answer in part (a) to calculate the approximate change
in z if y increases 2 additional units while x remains unchanged. Show your reasoning
Transcribed Image Text:Suppose that the production function for a product is given by z=x´In(xy) , where x is the labor hours per worker, and y is the capital expenditure (in hundreds of thousands of dollars). When the labor hours per worker are 8, and the capital expenditure is 2 (hundreds of thousands of dollars), (а) Find the find marginal productivity of y when x = 8 and y = 2 (b) When x = 8 and y =2, use your answer in part (a) to calculate the approximate change in z if y increases 2 additional units while x remains unchanged. Show your reasoning
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