A firm's total output is given by the production function $ Q = 3L^{2} - 0.1L^{3} $, where $L$ is the number of labour units employed. Determine the level of labour at which the average product of labour is maximised and state the maximum average product.

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Labour = 15 units; maximum average product = 22.5 output per unit labour

Gce Model Questions Vol1 2024 Economics Question 11

A firm's total output is given by the production function \( Q = 3L^{2} - 0.1L^{3} \), where \(L\) is the number of labour units employed. Determine the level of labour at which the average product of labour is maximised and state the maximum average product.

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