Equilibrium, shortages, surpluses and price ceilings and floors

Grade 12 Social Studies Worksheet - Challenge Me

NameDate

Circle the best answer.

  1. Read this first

    Use the table

    The federal minimum wage and consumer prices (real data: U.S. Department of Labor; Bureau of Labor Statistics)

    YearFederal minimum wageCPI-U annual average
    2009$7.25214.537
    2019$7.25255.657
    2025$7.25321.943

    CPI-U is the Consumer Price Index for All Urban Consumers, with 1982-84 as 100. The federal minimum was set at $7.25 on July 24, 2009. To restate dollars from one year in another year's dollars, multiply by the ratio of the two CPI-U values.

  2. Ari wants to restate the decline in 2025 dollars, not 2009 dollars. What does the choice of base year change?

    • The dollar figures ($10.88 or $4.83), not the size of the decline, which is about one-third either way.
    • The direction: in 2025 dollars the $7.25 wage rose, since prices in 2025 are higher than in 2009.
    • Nothing: the base year does not change any dollar figure like $7.25, since real values cannot depend on it.
    • The size of the decline: in 2009 dollars the $7.25 wage shows no fall, because it was set in 2009.
  3. A federal floor of $7.25 applies in each town. Milo reads the table. Where does the $7.25 federal floor bind, and what does that show?

    • Only in Town R, where the market wage is highest, so the most workers are affected there.
    • In all three towns, since a legal floor applies in the same way wherever the law reaches.
    • In Towns P and Q, since both market wages are less than the $12.00 paid in Town R.
    • Only in Town P, where the $7.00 market wage is below the floor; Q and R are unaffected.
  4. The cap was set in year 1 and never changed. In Harbor Row the shortage grew from 100 to 180 under the same cap. What does Pia conclude from the card?

    • The cap rose by 80 dollars over the years, so landlords had less reason to rent out.
    • Demand rose by 80, since a shortage draws more households to look for an apartment.
    • Supply fell by 80 while demand held at 900, so owners respond to a cap more over time.
    • Nothing changed in the market, since the same cap leaves the same shortage each year.
  5. Six renters, six landlords (example figures, made up for practice)

    RenterMost the renter will payLandlordLeast the landlord will take
    Renter 1$1,300Landlord 1$700
    Renter 2$1,200Landlord 2$800
    Renter 3$1,100Landlord 3$900
    Renter 4$1,000Landlord 4$1,000
    Renter 5$900Landlord 5$1,100
    Renter 6$800Landlord 6$1,200

    Each landlord has one apartment and each renter wants one. A trade at some rent gains the renter the most minus the rent, and the landlord the rent minus the least. A city caps rent at $800.

  6. A city caps rent at $800. Esme totals the gains from trade. Which statement does the card support?

    • Gains from trade stay at $1,200, because the same renters and landlords exist under the cap.
    • Gains fall from $1,200 to at most $1,000, since just 2 apartments are offered at $800.
    • Gains from trade rise, because renters pay less rent and so renters keep more of each trade.
    • Gains from trade fall to $0, since each trade in the market is cancelled by the cap.
  7. Both markets start with 1,000 units sold at equilibrium. Both markets set the same floor, $2 above equilibrium. How does Bo explain a surplus of 400 in one and 40 in the other?

    • Market N started with fewer units sold, so its surplus has to be smaller.
    • Buyers and sellers in Market M respond more to prices, so the same floor opens a much wider gap.
    • Market M's floor is higher in dollars, so a higher floor means a larger surplus.
    • A surplus depends just on how far the floor lies above equilibrium, so one figure must be wrong.
  8. Use the table

    The federal minimum wage and consumer prices (real data: U.S. Department of Labor; Bureau of Labor Statistics)

    YearFederal minimum wageCPI-U annual average
    2009$7.25214.537
    2019$7.25255.657
    2025$7.25321.943

    CPI-U is the Consumer Price Index for All Urban Consumers, with 1982-84 as 100. The federal minimum was set at $7.25 on July 24, 2009. To restate dollars from one year in another year's dollars, multiply by the ratio of the two CPI-U values.

  9. Ren lists four claims. Which claim goes beyond what the card can support?

    • The real value of $7.25 was lower in 2019 than in 2009, since prices rose in between.
    • The dollar value of the federal minimum stayed the same from 2009 through 2025, per the card.
    • The $7.25 floor reduced employment among minimum-wage workers between 2009 and 2025.
    • Consumer prices, measured by the CPI-U, were about 50% higher in 2025 than in 2009.
  10. Three made-up studies of three regions. Economists debate how large the effects are in real towns. Kira reads three studies of the same 10% rise. Which conclusion do the studies support?

    • The effect is small and its sign unsettled, so three studies cannot settle the debate.
    • The three results average to about zero, so the true effect in each region must be zero.
    • The studies show that a minimum wage costs jobs, since one study found a fall in employment.
    • The studies show that a minimum wage adds jobs, since Study C found a rise in employment.
  11. Card

    a rent cap (made up for practice). A city fixed its rent cap at $900 ten years ago and never changed it. Ten years ago the market rent was also $900, so the cap did nothing. Since then consumer prices rose 30%, and the market rent rose with prices to about $1,170.

  12. Tala explains why the old cap now matters. Which explanation fits the card?

    • In real terms the cap fell about 23% ($900 ÷ $1,170), so it now binds below the $1,170 market rent.
    • The cap's real value rose, since the market rent in dollars is higher than ten years ago.
    • The cap's real value fell by 30%, since prices rose 30%, so it binds 30% below the market rent.
    • The cap is still $900 in real terms, so it still does nothing, just as it did ten years ago.
  13. A cap or vouchers in Elm Park (example figures, made up for practice)

    RentWanted beforeWanted with vouchersOffered
    $700550750350
    $800450650450
    $900350550550
    $1,000250450650

    A city can cap rent at $700, or give vouchers that add 200 renters wanting apartments at each rent. Economists debate how large such effects are in real cities.

  14. Noah compares the cap and the vouchers on how many apartments get rented. Which comparison fits the card?

    • Neither: both policies leave 200 households wanting an apartment and unable to find one.
    • The cap: each renter who gets an apartment pays $700, so the cap puts the most households in homes.
    • Vouchers: 550 apartments are rented against 350 under the cap, though rent rises to $900.
    • Vouchers, but rent rises just to $800 and 450 apartments are rented, as before.
  15. A wage floor in the Dale job market (example figures, made up for practice)

    Wage per hourJobs offeredWorkers seeking jobs
    $91,100700
    $101,000800
    $11900900
    $128001,000
    $137001,100

    Total pay in an hour is the wage times the jobs. Economists debate how large the effects of wage floors are in real towns.

  16. A $12 floor is set in the Dale job market. How does Zee describe its effect on workers as a group?

    • As a group they earn less: pay falls from $9,900 to $9,600 an hour, though 800 earn $1 more each.
    • As a group they earn more, since the wage rose from $11 to $12 for each person who is employed.
    • Total pay falls to $8,800, since the 200 workers seeking jobs without work earn nothing.
    • Total pay is unchanged at $9,900, since the $800 gained by those who keep jobs offsets the loss.
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Equilibrium, shortages, surpluses and price ceilings and floors

Answer Key - Grade 12 Social Studies Worksheet - Challenge Me

Circle the best answer.

  1. Read this first

    Use the table

    The federal minimum wage and consumer prices (real data: U.S. Department of Labor; Bureau of Labor Statistics)

    YearFederal minimum wageCPI-U annual average
    2009$7.25214.537
    2019$7.25255.657
    2025$7.25321.943

    CPI-U is the Consumer Price Index for All Urban Consumers, with 1982-84 as 100. The federal minimum was set at $7.25 on July 24, 2009. To restate dollars from one year in another year's dollars, multiply by the ratio of the two CPI-U values.

  2. Ari wants to restate the decline in 2025 dollars, not 2009 dollars. What does the choice of base year change?

    • The dollar figures ($10.88 or $4.83), not the size of the decline, which is about one-third either way.
    • The direction: in 2025 dollars the $7.25 wage rose, since prices in 2025 are higher than in 2009.
    • Nothing: the base year does not change any dollar figure like $7.25, since real values cannot depend on it.
    • The size of the decline: in 2009 dollars the $7.25 wage shows no fall, because it was set in 2009.
  3. A federal floor of $7.25 applies in each town. Milo reads the table. Where does the $7.25 federal floor bind, and what does that show?

    • Only in Town R, where the market wage is highest, so the most workers are affected there.
    • In all three towns, since a legal floor applies in the same way wherever the law reaches.
    • In Towns P and Q, since both market wages are less than the $12.00 paid in Town R.
    • Only in Town P, where the $7.00 market wage is below the floor; Q and R are unaffected.
  4. The cap was set in year 1 and never changed. In Harbor Row the shortage grew from 100 to 180 under the same cap. What does Pia conclude from the card?

    • The cap rose by 80 dollars over the years, so landlords had less reason to rent out.
    • Demand rose by 80, since a shortage draws more households to look for an apartment.
    • Supply fell by 80 while demand held at 900, so owners respond to a cap more over time.
    • Nothing changed in the market, since the same cap leaves the same shortage each year.
  5. Six renters, six landlords (example figures, made up for practice)

    RenterMost the renter will payLandlordLeast the landlord will take
    Renter 1$1,300Landlord 1$700
    Renter 2$1,200Landlord 2$800
    Renter 3$1,100Landlord 3$900
    Renter 4$1,000Landlord 4$1,000
    Renter 5$900Landlord 5$1,100
    Renter 6$800Landlord 6$1,200

    Each landlord has one apartment and each renter wants one. A trade at some rent gains the renter the most minus the rent, and the landlord the rent minus the least. A city caps rent at $800.

  6. A city caps rent at $800. Esme totals the gains from trade. Which statement does the card support?

    • Gains from trade stay at $1,200, because the same renters and landlords exist under the cap.
    • Gains fall from $1,200 to at most $1,000, since just 2 apartments are offered at $800.
    • Gains from trade rise, because renters pay less rent and so renters keep more of each trade.
    • Gains from trade fall to $0, since each trade in the market is cancelled by the cap.
  7. Both markets start with 1,000 units sold at equilibrium. Both markets set the same floor, $2 above equilibrium. How does Bo explain a surplus of 400 in one and 40 in the other?

    • Market N started with fewer units sold, so its surplus has to be smaller.
    • Buyers and sellers in Market M respond more to prices, so the same floor opens a much wider gap.
    • Market M's floor is higher in dollars, so a higher floor means a larger surplus.
    • A surplus depends just on how far the floor lies above equilibrium, so one figure must be wrong.
  8. Use the table

    The federal minimum wage and consumer prices (real data: U.S. Department of Labor; Bureau of Labor Statistics)

    YearFederal minimum wageCPI-U annual average
    2009$7.25214.537
    2019$7.25255.657
    2025$7.25321.943

    CPI-U is the Consumer Price Index for All Urban Consumers, with 1982-84 as 100. The federal minimum was set at $7.25 on July 24, 2009. To restate dollars from one year in another year's dollars, multiply by the ratio of the two CPI-U values.

  9. Ren lists four claims. Which claim goes beyond what the card can support?

    • The real value of $7.25 was lower in 2019 than in 2009, since prices rose in between.
    • The dollar value of the federal minimum stayed the same from 2009 through 2025, per the card.
    • The $7.25 floor reduced employment among minimum-wage workers between 2009 and 2025.
    • Consumer prices, measured by the CPI-U, were about 50% higher in 2025 than in 2009.
  10. Three made-up studies of three regions. Economists debate how large the effects are in real towns. Kira reads three studies of the same 10% rise. Which conclusion do the studies support?

    • The effect is small and its sign unsettled, so three studies cannot settle the debate.
    • The three results average to about zero, so the true effect in each region must be zero.
    • The studies show that a minimum wage costs jobs, since one study found a fall in employment.
    • The studies show that a minimum wage adds jobs, since Study C found a rise in employment.
  11. Card

    a rent cap (made up for practice). A city fixed its rent cap at $900 ten years ago and never changed it. Ten years ago the market rent was also $900, so the cap did nothing. Since then consumer prices rose 30%, and the market rent rose with prices to about $1,170.

  12. Tala explains why the old cap now matters. Which explanation fits the card?

    • In real terms the cap fell about 23% ($900 ÷ $1,170), so it now binds below the $1,170 market rent.
    • The cap's real value rose, since the market rent in dollars is higher than ten years ago.
    • The cap's real value fell by 30%, since prices rose 30%, so it binds 30% below the market rent.
    • The cap is still $900 in real terms, so it still does nothing, just as it did ten years ago.
  13. A cap or vouchers in Elm Park (example figures, made up for practice)

    RentWanted beforeWanted with vouchersOffered
    $700550750350
    $800450650450
    $900350550550
    $1,000250450650

    A city can cap rent at $700, or give vouchers that add 200 renters wanting apartments at each rent. Economists debate how large such effects are in real cities.

  14. Noah compares the cap and the vouchers on how many apartments get rented. Which comparison fits the card?

    • Neither: both policies leave 200 households wanting an apartment and unable to find one.
    • The cap: each renter who gets an apartment pays $700, so the cap puts the most households in homes.
    • Vouchers: 550 apartments are rented against 350 under the cap, though rent rises to $900.
    • Vouchers, but rent rises just to $800 and 450 apartments are rented, as before.
  15. A wage floor in the Dale job market (example figures, made up for practice)

    Wage per hourJobs offeredWorkers seeking jobs
    $91,100700
    $101,000800
    $11900900
    $128001,000
    $137001,100

    Total pay in an hour is the wage times the jobs. Economists debate how large the effects of wage floors are in real towns.

  16. A $12 floor is set in the Dale job market. How does Zee describe its effect on workers as a group?

    • As a group they earn less: pay falls from $9,900 to $9,600 an hour, though 800 earn $1 more each.
    • As a group they earn more, since the wage rose from $11 to $12 for each person who is employed.
    • Total pay falls to $8,800, since the 200 workers seeking jobs without work earn nothing.
    • Total pay is unchanged at $9,900, since the $800 gained by those who keep jobs offsets the loss.