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 costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxilla’s budget set between
poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off

with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving

along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process

based on marginal utility, create a table and identify Praxilla’s utility-maximizing choice. Compare the

marginal utility of the two goods and the relative prices at the optimal choice to see if the expected

relationship holds. Hint: Label the table columns: 1) Choice, 2) Marginal Gain from More Poems, 3)
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