Consider the following production function: , where is output and is input (labour). For what value of will the marginal product of labour start decreasing?
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1 mark, −0.33MathematicsLimits, continuity and differentiabilityDerivatives in economic use: elasticity, growth and inflectionModerateabout 2 min
UoH 2020 Question 15: Limits, continuity and differentiability
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Plain-text version
Consider the following production function: y = -x³ + 18x² + 45x, where y is output and x is input (labour). For what value of x will the marginal product of labour start decreasing? (A) x = 3.0 (B) x = 6.0 (C) x = 6 + √51 (D) Does not exist
Also written as: Consider the following production function: y = -x^3 + 18x^2 + 45x, where y is output and x is input (labour). For what value of x will the marginal product of labour start decreasing?
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Derivatives in economic use: elasticity, growth and inflection, part of Limits, continuity and differentiability in Mathematics.
Interpreting derivatives as growth rates and elasticities, and the meaning of an inflection point.
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