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5ToiiT'w~ a log A+ lJ••••• w where et is the income elasticity of the ith good, etJ is the (uncompensated) cross-price elasticity of good i with respect to the price of good j, and 8tJ is the Kronecker delta, equal to unity if i= j and zero otherwise. The use of<£, which is Frisch's flexibility of the marginal utility of money, is justified, since if the utility function is explicitly additive, ie, 6 {x}= x, the quantity has this interpretation. Combining (4) and (5), a log (A/fl'),..„