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» <html><body><p></p>Solution :Given: `Q=5L^(Â½)K^(Â½), L=100` <a href="https://interviewquestions.tuteehub.com/tag/units-1438468" style="font-weight:bold;" target="_blank" title="Click to know more about UNITS">UNITS</a>, `K=100` units <br/> Putting the values of L and K in the given <a href="https://interviewquestions.tuteehub.com/tag/production-14556" style="font-weight:bold;" target="_blank" title="Click to know more about PRODUCTION">PRODUCTION</a> function, we <a href="https://interviewquestions.tuteehub.com/tag/get-11812" style="font-weight:bold;" target="_blank" title="Click to know more about GET">GET</a> : <br/> `Q=5(100)^(Â½)(100)^(Â½)` <br/> i.e., `Q=5 <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(100). sqrt(100)` <br/> Q or Maximum output `= <a href="https://interviewquestions.tuteehub.com/tag/500-323288" style="font-weight:bold;" target="_blank" title="Click to know more about 500">500</a>` units</body></html>