The production function $q = \sqrt { k l }$
A)exhibits constant returns to scale and constant marginal productivities for k and l.
B)exhibits diminishing returns to scale and diminishing marginal productivities for k and l.
C)exhibits constant returns to scale and diminishing marginal productivities for k and l.
D)exhibits diminishing returns to scale and constant marginal productivities for k and l.

Question

Quizplus · Accepted Answer

A production function exhibits constant returns to scale if doubling the inputs doubles the output, and it exhibits diminishing returns to scale if doubling the inputs results in less than twice the output. The production function given doesn't have any exponent on k or l, which suggests that it exhibits constant returns to scale. 
The marginal productivities of k and l are the partial derivatives of the production function with respect to k and l, respectively. The production function given has linear terms in k and l, which means that the marginal productivities of k and l are constants. However, since the production function doesn't have any exponent on kk or ll, it suggests that the marginal productivities of k and l are decreasing with each additional unit of k or l. Therefore, the production function exhibits constant returns to scale and diminishing marginal productivities for k and l.

The Production Function q=klq = \sqrt { k l }q=kl​ A)exhibits Constant Returns to Scale and Constant Marginal Productivities for A)exhibits

The Production Function $q = \sqrt { k l }$ A)exhibits Constant Returns to Scale and Constant Marginal Productivities for A)exhibits