The production function of a firm is described by the following equation Q=10,000L-3L2 where Lstands for the units of labour.a) Draw a graph for this equation. Use the quantity produced in the y-axis, and the units of labour inthe x-axis. b) What is the maximum production level? c) How many units of labour are needed at that point?

Microeconomic Theory
12th Edition
ISBN:9781337517942
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Chapter9: Production Functions
Section: Chapter Questions
Problem 9.2P
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The production function of a firm is described by the following equation Q=10,000L-3L2 where L
stands for the units of labour.
a) Draw a graph for this equation. Use the quantity produced in the y-axis, and the units of labour in
the x-axis. 
b) What is the maximum production level? 
c) How many units of labour are needed at that point? 

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