Answer to Question #295908 in Economics of Enterprise for zx smx

Question

Imagine, we are in ancient Greece. Praxilla lives in Athens and derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem, 27 units of marginal utility from her second poem, 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her first three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumbers consumed. A poem costs three bronze coins, but a cucumber only costs one bronze coin. Praxilla has 18 bronze coins

Answer 1

3x+y=18

y=18

x=3