Let the production function of a firm be Q = 5 L1/2 K1/2 Find the max

1.	Let the production function of a firm be Q = 5 L1/2 K1/2 Find the maximum output that the firm can produce with 100 units of L and 100 units of K.
Answer» The production function is Q = 5 L^1/2 K^1/2 Since the firm uses 100 units of L and 100 units of K, we get the production function as Q = 5 × 100^1/2 100^1/2 Q = 5 × 10x 10 Q = 5 × 100 = 500

Let the production function of a firm be Q = 5 L1/2 K1/2 Find the maximum output that the firm can produce with 100 units of L and 100 units of K.

Answer»

The production function is Q = 5 L^1/2 K^1/2

Since the firm uses 100 units of L and 100 units of K, we get the production function as

Q = 5 × 100^1/2 100^1/2

Q = 5 × 10x 10

Q = 5 × 100 = 500