Carl is stranded in the forest and must survive on coconuts and quail. His utility function for those items is U = f(C,Q) = 10C - C² + 4Q - Q².
A.By taking the derivative of the utility function with respect to each commodity and setting the result equal to zero it is clear that Carl should get 5 coconuts and 2 quail.
A.If Carl maximizes his utility and has no constraints on how many he can get, what will he do?
B.If Carl is able to get only some combination of 5 coconuts and quail, how many will he get of each if he is doing the best he can?
B.Substituting the constraint into the utility function yields results of 4 coconuts and 1 quail.

Question

Quizplus · Accepted Answer

The Answer of Carl is stranded in the forest and must survive on coconuts and quail. His utility function for those items is U = f(C,Q) = 10C - C² + 4Q - Q². A.By taking the derivative of the utility function with respect to each commodity and setting the result equal to zero it is clear that Carl should get 5 coconuts and 2 quail. A.If Carl maximizes his utility and has no constraints on how many he can get, what will he do? B.If Carl is able to get only some combination of 5 coconuts and quail, how many will he get of each if he is doing the best he can? B.Substituting the constraint into the utility function yields results of 4 coconuts and 1 quail.

Carl Is Stranded in the Forest and Must Survive on Coconuts