What is utility to buy equal numbers of songs and dvds


Paul Movie derives utility only from iTunes Songs (S) and DVDs (D). His utility function is given by

U = (SD)^1/2

Suppose Paul's roomate object to his music choices and require him only to buy equal numbers of songs and DVDs. Furthermore, suppose songs cost $6.6, DVDs cost $8.2 and Paul has an income of $172.6. What is his utility?

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Microeconomics: What is utility to buy equal numbers of songs and dvds
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