Exercise 5.b.2 from microeconomics theory by Andreu Mas-Colell: suppose that f(?) is the production function associated with single-output

technology, and let Y be the production set of this technology.

show that Y satisfies constant returns to scale if and only if f(?) is homogeneous of degree to one.

?

For single-output technologies, properties of the production set translate readily into properties of the production function f( - ). Consider Exercise 5.3.2 and Example 5.3.3. Exercise 5.3.2: Suppose that f(-) is the production function associated with a single-output technology. and let Y be the production set of this technology. Show that Y satises constant returns to scale if and only if f(-) is homogeneous of degree one