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MMLU-Pro / 7264 / Mrs. McCoy is trying to decide how much beer, wine, and soda to buy. Soda costs…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Mrs. McCoy is trying to decide how much beer, wine, and soda to buy. Soda costs 1foralargebottle.Beeris1 for a large bottle. Beer is 2 for a six-pack. Wine cost 4perliter.Hermarginalutilityfiguresforthebeveragesareaspresentedbelow:UnitofproductMUofsoda(utils)MUofBeer(utils)MUofwine(utils)FirstSecondThirdFourthFifthSixth1098765504030201612604032242016IfMrs.McCoywishestospend4 per liter. Her marginal utility figures for the beverages are as presented below: Unit of product MU of soda(utils) MU of Beer(utils) MU of wine(utils) First Second Third Fourth Fifth Sixth 10 9 8 7 6 5 50 40 30 20 16 12 60 40 32 24 20 16 If Mrs. McCoy wishes to spend 17 what combination of beverages should she select in order to maximize her total utility.
Plain-text mathematical notation (without MathML)
Mrs. McCoy is trying to decide how much beer, wine, and soda to buy. Soda costs 1foralargebottle.Beeris2 for a six-pack. Wine cost 4perliter.Hermarginalutilityfiguresforthebeveragesareaspresentedbelow:UnitofproductMUofsoda(utils)MUofBeer(utils)MUofwine(utils)FirstSecondThirdFourthFifthSixth1098765504030201612604032242016IfMrs.McCoywishestospend17 what combination of beverages should she select in order to maximize her total utility.
Original LaTeX notation
Mrs. McCoy is trying to decide how much beer, wine, and soda to buy. Soda costs $1 for a large bottle. Beer is $2 for a six-pack. Wine cost $4 per liter. Her marginal utility figures for the beverages are as presented below: Unit of product MU of soda(utils) MU of Beer(utils) MU of wine(utils) First Second Third Fourth Fifth Sixth 10 9 8 7 6 5 50 40 30 20 16 12 60 40 32 24 20 16 If Mrs. McCoy wishes to spend $17 what combination of beverages should she select in order to maximize her total utility.

category

economics

options

  1. 2 bottles of soda, 2 six-packs of beer, and 2 liters of wine
  2. 2 bottles of soda, 3 six-packs of beer, and 3 liters of wine
  3. 3 bottles of soda, 1 six-pack of beer, and 3 liters of wine
  4. 2 bottles of soda, 4 six-packs of beer, and 1 liter of wine
  5. 5 bottles of soda, 1 six-pack of beer, and 2 liters of wine
  6. 1 bottle of soda, 3 six-packs of beer, and 3 liters of wine
  7. 4 bottles of soda, 2 six-packs of beer, and 1 liter of wine
  8. 6 bottles of soda, no beer, and 2 liters of wine
  9. 3 bottles of soda, 2 six-packs of beer, and 1 liter of wine
  10. 1 bottle of soda, 4 six-packs of beer, and 2 liters of wine

src

stemez-Economics

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Source and history

upstream_id / Original problem ID
7264
task_id
de28e506-9d38-5f8f-bf4e-0505482e403f
task_key
default--test--7264
task_revision_id
1
config / split
default / test

Official source

initial import