A firms short-run production function is given by Q = 3L where L is the number of

Question:

A firm’s short-run production function is given by
Q = 3√L
where L is the number of units of labour.
If the price per unit sold is $50 and the price per unit of labour is $10, find the value of L needed to maximise profits. You may assume that the firm sells all that it produces, and you can ignore all other costs.

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