試題詳解

5. (5%) A company's production is given by the Cobb-Douglas function P=60L^2/3K^1/3, where L and K are the number of units of labor and capital. Each unit of labor costs $25 and each unit of capital costs $100. The company wants to produce exactly 1920 units. Find L* and K* that meet the production requirements at the lowest cost. What is the value of L* + K*?
(A) 64
(B) 72
(C)80
(D) None of the above