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Suppose that the production function for a product is z = V36xy, where x represents the number or work-hours per month and y is the number of available machines. (a) Determine the marginal productivity of x. (b) Determine the marginal productivity of y.

Suppose that the production function for a product is z = V36xy, where x represents the number or work-hours per month and y is the number of available machines. (a) Determine the marginal productivity of x. (b) Determine the marginal productivity of y.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Suppose that the production function for a product is z = 36xy, where x represents the number or work-hours per month and y is the number of available machines. (a) Determine the marginal productivity of x. (b) Determine the marginal productivity of y.
Transcribed Image Text:Suppose that the production function for a product is z = 36xy, where x represents the number or work-hours per month and y is the number of available machines. (a) Determine the marginal productivity of x. (b) Determine the marginal productivity of y.
Suppose that the number of crates of an agricultural product is given by z = 11xy – 0.0002x² 0.03х + 4y 5y where x is the number of hours of labor and y is the number of acres of the crop. Find the marginal productivity of the number of hours of labor (x) when x = 600 and y = 900. (Round your answer to two decimal places.) crates Interpret your answer. O If 600 acres are planted, the expected change in the productivity for the 901st hour of labor is this many crates. If 600 acres are planted and 900 hours are worked, this is the number of crates produced. O If 900 acres are planted and 600 hours are worked, this is the number of crates produced. O If 900 acres are planted, the expected change in the productivity for the 601st hour of labor is this many crates.
Transcribed Image Text:Suppose that the number of crates of an agricultural product is given by z = 11xy – 0.0002x² 0.03х + 4y 5y where x is the number of hours of labor and y is the number of acres of the crop. Find the marginal productivity of the number of hours of labor (x) when x = 600 and y = 900. (Round your answer to two decimal places.) crates Interpret your answer. O If 600 acres are planted, the expected change in the productivity for the 901st hour of labor is this many crates. If 600 acres are planted and 900 hours are worked, this is the number of crates produced. O If 900 acres are planted and 600 hours are worked, this is the number of crates produced. O If 900 acres are planted, the expected change in the productivity for the 601st hour of labor is this many crates.
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