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How To Convert Total Utility Equation To Marginal Utility Equation?

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Anonymous Profile
Anonymous answered
The Total Utility (TU) for a certain consumer is given by TU = 250Q – 50Q2 – Q3. Derive the Marginal utility function (Graphically or algebraically) and find the consumption level at which the Marginal Utility equal to zero. Also calculate the corresponding Total Utility?
Oddman Profile
Oddman answered
Assuming the variables are QA and QB, you would find the sum of the partial derivatives with respect to each of the variables:
MU = 5(2)(QA) + 3(2)(QB) = 10QA + 6QB

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