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A firm's short-run production function (capital, K, is fixed; labour, L, is the variable input) has the reduced form: Q(L)= 3L+12L 2 -L 3 for

A firm's short-run production function (capital, K, is fixed; labour, L, is the variable input) has the reduced form:

Q(L)= 3L+12L2-L3

for L > 0.

Over what range of input does this function exhibit diminishing marginal product of labour?

1)Marginal product of labour is diminishing for all values of L < 4

2)Marginal product of labour is never diminishing for any values of L

3)Marginal product of labour is diminishing for all values of L > 4

4)Marginal product of labour is diminishing for all values of L

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