AiM
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- Dec 18, 2005
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I can't figure this one specific example out, I never took proper Calculus so I'm doing catchup here.... my exams are coming within a few days so I don't have time to ask the professor.
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"Suppose the production function of a firm is q = 10K^0.4 L^0.6 Find the MPL"
MPL = dq / dL
= 10K^0.4 L^0.6
= 10K^0.4 (.6)L^0.6 - 1
Now this is the part I don't understand...
Why does the 0.6 move to the 10?
= (0.6)10K^0.4 L^-0.4
= 6K^0.4 L^-0.4 <--- answer I have in my notes
Why doesn't the 0.6 move to L instead?
Shouldn't it be...
= 10K^0.4 0.6L^-0.4 <--- how I normally solve the other questions
============
Any help would be much appreciated
=============
"Suppose the production function of a firm is q = 10K^0.4 L^0.6 Find the MPL"
MPL = dq / dL
= 10K^0.4 L^0.6
= 10K^0.4 (.6)L^0.6 - 1
Now this is the part I don't understand...
Why does the 0.6 move to the 10?
= (0.6)10K^0.4 L^-0.4
= 6K^0.4 L^-0.4 <--- answer I have in my notes
Why doesn't the 0.6 move to L instead?
Shouldn't it be...
= 10K^0.4 0.6L^-0.4 <--- how I normally solve the other questions
============
Any help would be much appreciated