Let

E

represent total expenditures by a consumer. Further, let

p_(x)

represent the price of some good

x

and

s_(x)

represent the share of income spent on good

x

.\ By the chain rule,

(dlnE)/(dlnp_(x))=(dlnE)/(dE)*(dE)/(dp_(z))*(dp_(z))/(dlnp_(z))

.\

(dlnE)/(dE)=

\ Hint: Assume consumers spend all of their income.\

(dE)/(dp_(x))=\ (dp_(x))/(dlnp_(x))=

\ Which of the following results from multiplying these three derivatives together

((dlnE)/(dlnp_(z))

)

=

(

(dlnE)/(dE)*(dE)/(dp_(x))*(dp_(z))/(dlnp_(x)))?

\

(p_(x))/(E)

\

(x)/(E)\ (xE)/(p_(x))\ (p_(x)x)/(E)

By the chain rule, dlnpzdlnE=dEdlnEdpzdEdlnpzdpz. dEdlnE= Hint: Assume consumers spend all of their income. dpxdE=dlnpxdpx= Which of the following results from multiplying these three derivatives together (dlnpzdlnE=dEdlnEdpxdEdlnpxdpz) ? Epx ExpxxE Epzx By the chain rule, dlnpzdlnE=dEdlnEdpzdEdlnpzdpz. dEdlnE= Hint: Assume consumers spend all of their income. dpxdE=dlnpxdpx= Which of the following results from multiplying these three derivatives together (dlnpzdlnE=dEdlnEdpxdEdlnpxdpz) ? Epx ExpxxE Epzx