If tastes are homothetic, there exists a utility function that represents those tastes and that gives rise to an expenditure function which is homogeneous of degree 1 in utility.
Answer the following statement true (T) or false (F)
True
Rationale: An expenditure function that is homogeneous of degree 1 in utility is one that says we can increase utility by a factor k if we increase spending by a factor k. If tastes are homothetic, we know that all optimal bundles lie on the same ray from the origin as long as prices remain unchanged -- which means the statement must in fact be true.
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