Profit maximizing firm, Macroeconomics

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A profit maximizing firm has a production function such that:

Y=K2L2

a) If P=10,rk=2,andWL=3 , what would be its optimum be? How can you show that it is a maximum?

b) How would the answer change if it needs to produce at least 100 units of Y and that it now is a cost minimizing firm?


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