A competitive firm can sell any output at price π = 1. Production depends on capital alone, and the production function π¦ = π(πΎ) is twice continuously differentiable, with
π(0) = 0, π β² > 0, π β²β² < 0, \(lim\\_{ πΎβ0 }\) π β² (πΎ) = β , \(lim\\_{ πΎββ}\) π β² (πΎ) = 0.
The firm has positive capital stock πΎΜ
to start with, and can buy and sell capital at price π per unit of capital. If the firm is maximizing profit then which of the following statements is NOT CORRECT?