1.

Let the production function of a firm be `Q=5L^(1//2)K^(1//2)` . Find the maximum possible output that the firm can produce with 100 units of L and 100 units of K.

Answer» Given : `Q=5L^(1//2)K^(1//2) ` and L=10 units , K=100 units .
Putting the values of L and K in the given production function, we get,
`Q=5(100)^(1//2)(100)^(1//2)`
i.e., `Q=5sqrt100.sqrt100`
Q=500 units.
`therefore` Maximum output =500 units .


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