Suppose that we have a standard classical production function F(K, L) that exhibits constant returns to scale. Define output per worker as the ratio between output and labor: (F(K, L))/L. Prove (using the Euler equation) that, ceteris paribus, higher population causes average labor productivity to fall, i. e. show that ((∂) (F (K, L))/L)/∂L < 0.

Euler equation: F(K, L) = (MPK x K) + (MPL x L)

Which of the following statements is not correct? the stock of publicly owned companies must generally be registered with and reported to a regulatory agency such as the sec. when stock in a closely held corporation is offered to the public for the first time, the transaction is called "going public, or an ipo," and the market for such stock is called the new issue or ipo market. "going public" establishes a firm's true intrinsic value and ensures that a liquid market will always exist for the firm's shares. if you wanted to know what rate of return stocks have provided in the past, you could examine data on the dow jones industrial index, the s& p 500 index, or the nasdaq index.