A manufacturer has modeled its yearly production function P (the monetary value of its entire production in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65K0.35 where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). Find P(100, 60) and interpret it. (Round your answers to one decimal place.) P(100, 60) = | monetary value of the production is about $ , so when the manufacturer invests $ million in capital and thousand hours of labor are completed yearly, the million.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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A manufacturer has modeled its yearly production function P (the monetary value of its entire production in millions of dollars) as a Cobb-Douglas function
P(L, K) = 1.47L0.65K0.35
where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). Find P(100, 60) and interpret it. (Round your answers to one decimal place.)
P(100, 60) = |
monetary value of the production is about $
, so when the manufacturer invests $
million in capital and
thousand hours of labor are completed yearly, the
million.
Transcribed Image Text:A manufacturer has modeled its yearly production function P (the monetary value of its entire production in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65K0.35 where L is the number of labor hours (in thousands) and K is the invested capital (in millions of dollars). Find P(100, 60) and interpret it. (Round your answers to one decimal place.) P(100, 60) = | monetary value of the production is about $ , so when the manufacturer invests $ million in capital and thousand hours of labor are completed yearly, the million.
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