1) Determine the optimal quantities of ????1, ????2 for each utility function. The price of good 1 is $2, the price of good 2 is $1, and income is 10.

a) ????(????1, ????2 ) = ????????????{5????1, 2????2}

b) ????(????1, ????2 ) = 3????1 + 4????2

c) ????(????1, ????2 ) = 2????1????2 2/3

1) Determine the optimal quantities of X1, X2 for each utility function. The price of good 1 is $2, the price of good 2 is $1, and income is 10. a) U(x1,X2) = min{5x1, 2x2) b) U(x1, X2) = 3x1 + 4x2 c) U(X1, X2) = 2x1X2 2/3