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Would you expect total utility to rise or fall with additional consumption of a good? Why?

Short Answer

Expert verified
In summary, total utility is expected to rise with additional consumption of a good but at a decreasing rate, due to the law of diminishing marginal utility. As long as the marginal utility is positive, total utility will continue to increase, but the increase will become smaller and smaller as more units of the good are consumed.

Step by step solution

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1. Understanding Total Utility and Marginal Utility

Total utility is the total satisfaction a consumer gets from consuming a certain quantity of a good. Marginal utility is the additional satisfaction obtained from consuming one more unit of a good. As more units of the good are consumed, the marginal utility tends to decrease, illustrating the law of diminishing marginal utility.
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2. Examining the Law of Diminishing Marginal Utility

The law of diminishing marginal utility states that as more of a good is consumed, the additional satisfaction (marginal utility) gained from consuming each additional unit decreases. This is because the more of a good a person has, the less valuable the next additional unit becomes, as they have already satisfied most of their needs for that particular good.
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3. Measuring Total Utility with Additional Consumption of a Good

To measure the impact of additional consumption on total utility, we can calculate the total utility at various quantities of the good. Total utility is the sum of the marginal utilities of each additional unit consumed. As long as the marginal utility is positive, total utility will continue to rise.
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4. Determining Whether Total Utility Rises or Falls with Additional Consumption

Based on the law of diminishing marginal utility, we can expect total utility to increase with additional consumption of a good, but at a decreasing rate. Additional consumption of the good will lead to an increase in total utility since the marginal utility of the good, although diminishing, is still positive. However, as the marginal utility continues to decrease, the increase in total utility will become smaller and smaller, eventually approaching a maximum point. In conclusion, we can expect total utility to rise with additional consumption of a good, but at a decreasing rate due to the law of diminishing marginal utility.

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Most popular questions from this chapter

If a \(10 \%\) decrease in the price of one product that you buy causes an \(8 \%\) increase in quantity demanded of that product, will another \(10 \%\) decrease in the price cause another \(8 \%\) increase (no more and no less) in quantity demanded?

Explain all the reasons why a decrease in a product's price would lead to an increase in purchases.

Why does a change in income cause a parallel shift in the budget constraint?

Praxilla, who lived in ancient Greece, 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 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-bystep 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) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 Cucumbers, 3 ) 2 Poems and 12 Cucumbers, 4 ) 3 Poems and 9 Cucumbers, 5 ) 4 Poems and 6 Cucumbers, 6) 5 Poems and 3 Cucumbers, 7 ) 6 Poems and 0 Cucumbers.

Income effects depend on the income elasticity of demand for each good that you buy. If one of the goods you buy has a negative income elasticity, that is, it is an inferior good, what must be true of the income elasticity of the other good you buy?

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