題組內容

5. A price-taking firm in a perfectly competitive market uses three factors of production: labor (L), capital (K), and material (K). The firm's faces the production function $Q(L, K, M) = L^{\alpha} K^{\beta} M^{\gamma}$ with $\alpha, \beta, \gamma > 0$. (15%)

(b) \( (6\%) \) Show that the total value created by the firm under constant returns to scale is the exact sum of the values created by each factor's marginal productivity.