The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 20x0.5y0.5 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). Assume that you maintain a constant work force of 170 workers and wish to increase production in order to meet a demand that is increasing by 90 automobiles per year. The current demand is 1100 automobiles per year. How fast should your daily operating budget be increasing? HINT [See Example 4.] (Round your answer to the nearest cent.) per year
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 20x0.5y0.5 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). Assume that you maintain a constant work force of 170 workers and wish to increase production in order to meet a demand that is increasing by 90 automobiles per year. The current demand is 1100 automobiles per year. How fast should your daily operating budget be increasing? HINT [See Example 4.] (Round your answer to the nearest cent.) per year
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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