The number of oil changes per hour at Quick Lube is described by the following short-term production function: Q=10L−0.5L2   If oil changes (Q) sell for $20 each and labor (L) costs $40 per hour (wage), what is the optimal number of units of labor to hire per hour? How many oil changes will be completed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 12PFA
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The number of oil changes per hour at Quick Lube is described by the following short-term production function:

Q=10L−0.5L2  

If oil changes (Q) sell for $20 each and labor (L) costs $40 per hour (wage), what is the optimal number of units of labor to hire per hour? How many oil changes will be completed?  

 

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