Answer:
-0.5
Explanation:
Marginal rate of technical substitution (MRTS) refers to the rate at which the inputs are substituted for one another in a production of particular good.
Given that,
The marginal product of labor = 10
The marginal product of capital = 20
Hence,
[tex]MRTS=(-)\frac{MP_{L} }{MP_{K} }[/tex]
[tex]MRTS=(-)\frac{10}{20}[/tex]
= - 0.5
Therefore, the marginal rate of technical substitution is - 0.5.