The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor? Round your final answer to 2 decimal places and include units with your answer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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On a monthly basis, when a factory employs \( L \) worker-hours of labor, they can produce 

\[ Q(L) = 7L + 40L^{1.6} \] 

scooters. An investment in labor of \( K \) dollars gives them an employment level of 

\[ L(K) = 0.055K - \frac{12,500}{K} \] 

worker-hours.

a. The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor? Round your final answer to 2 decimal places and include units with your answer.
Transcribed Image Text:On a monthly basis, when a factory employs \( L \) worker-hours of labor, they can produce \[ Q(L) = 7L + 40L^{1.6} \] scooters. An investment in labor of \( K \) dollars gives them an employment level of \[ L(K) = 0.055K - \frac{12,500}{K} \] worker-hours. a. The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor? Round your final answer to 2 decimal places and include units with your answer.
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