Assume James has utility capacity {\displaystyle U={\sqrt {xy}}}{\displaystyle U={\sqrt {xy}}} to such an extent that x is the quantity of apples and y is the quantity of chocolates. Elective A has {\displaystyle x=9}{\displaystyle x=9} apples and {\displaystyle y=16}{\displaystyle y=16} chocolates; elective B has {\displaystyle x=13}{\displaystyle x=13} apples and {\displaystyle y=13}{\displaystyle y=13} chocolates. Putting the qualities x, y into the utility capacity yields {\displaystyle {\sqrt {9\times 16}}=12}{\displaystyle {\sqrt {9\\times 16}}=12} for elective An and {\displaystyle {\sqrt {13\times 13}}=13}{\displaystyle {\sqrt {13\times 13}}=13} for B, so James favors elective B.