Let the production function of a firm be : Q=5L^(½)K^(½). Find out the maximum possible output that the firm can produce with 100 units of L and 100 units of L and 100 units of K.

Let the production function of a firm be : Q=5L^(½)K^(½). Find out t

1.	Let the production function of a firm be : Q=5L^(½)K^(½). Find out the maximum possible output that the firm can produce with 100 units of L and 100 units of L and 100 units of K.
Answer» Solution :Given: `Q=5L^(Â½)K^(Â½), L=100` UNITS, `K=100` units Putting the values of L and K in the given PRODUCTION function, we GET : `Q=5(100)^(Â½)(100)^(Â½)` i.e., `Q=5 SQRT(100). sqrt(100)` Q or Maximum output `= 500` units