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» Given: `Q=5L^(½)K^(½), L=100` units, `K=100` units
Putting the values of L and K in the given production function, we get :
`Q=5(100)^(½)(100)^(½)`
i.e., `Q=5 sqrt(100). sqrt(100)`
Q or Maximum output `= 500` units


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