The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 20x0.4y0.6 where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). You maintain a production level of 1000 automobiles per year. If you currently employ 160 workers and are hiring new workers at a rate of 20 per year, how fast is your daily operating budget changing? (Round your answer to the nearest cent.) The daily operating budget is (Rising or Dropping) at a rate of $____ per year

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 29RE: For the following exercise, consider this scenario: In 2004, a school population was 1,700. By 2012...
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The automobile assembly plant you manage has a Cobb-Douglas production function given by

P = 20x0.4y0.6

where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). You maintain a production level of 1000 automobiles per year. If you currently employ 160 workers and are hiring new workers at a rate of 20 per year, how fast is your daily operating budget changing? (Round your answer to the nearest cent.)

The daily operating budget is (Rising or Dropping) at a rate of $____ per year

 

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