What is the MRTS for a firm with the following production function ,q = 10L^0.5K^0.3?

Question

Quizplus · Accepted Answer

To find the MRTS, we need to take the partial derivative of the production function with respect to K and L, and then take the ratio. MRTS = (∂q/∂L) / (∂q/∂K) MRTS = (10^0.5K)/(10.3^{0.5)
MRTS = (-0.308K) / (0.962L)
MRTS = -0.32K/L
Therefore, the MRTS is negative and depends on the ratio of capital and labor. The correct answer is option A.}

What Is the MRTS for a Firm with the Following