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MMLU-Pro / 244 / The McDougall Company produces and sells two qualities of carpet. The better…

Problem

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question

The McDougall Company produces and sells two qualities of carpet. The better quality carpeting sells for 6.00peryardandhasvariablecostsof70percentofsales.Theothertypecosts6.00 per yard and has variable costs of 70 percent of sales. The other type costs 3.00 per yard and has variable costs of 60 percent of sales. Total fixed costs of both types of carpet combined are 122,200.Ifbothcarpetshavethesamedollarsales,howmanyyardsofeachmustbesoldtoearnaprofitof122,200. If both carpets have the same dollar sales, how many yards of each must be sold to earn a profit of 50,000?
Plain-text mathematical notation (without MathML)
The McDougall Company produces and sells two qualities of carpet. The better quality carpeting sells for 6.00peryardandhasvariablecostsof70percentofsales.Theothertypecosts3.00 per yard and has variable costs of 60 percent of sales. Total fixed costs of both types of carpet combined are 122,200.Ifbothcarpetshavethesamedollarsales,howmanyyardsofeachmustbesoldtoearnaprofitof50,000?
Original LaTeX notation
The McDougall Company produces and sells two qualities of carpet. The better quality carpeting sells for $6.00 per yard and has variable costs of 70 percent of sales. The other type costs $3.00 per yard and has variable costs of 60 percent of sales. Total fixed costs of both types of carpet combined are $122,200. If both carpets have the same dollar sales, how many yards of each must be sold to earn a profit of $50,000?

category

business

options

  1. 30000 yards and 90000 yards
  2. 48500 yards and 72750 yards
  3. 45000 yards and 75000 yards
  4. 47833(1/3) yards and 71750 yards
  5. 50000 yards and 60000 yards
  6. 52000 yards and 78000 yards
  7. 55000 yards and 65000 yards
  8. 35000 yards and 70000 yards
  9. 40000 yards and 80000 yards
  10. 60000 yards of each type

src

stemez-Business

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Source and history

upstream_id / Original problem ID
244
task_id
06dcd83a-0957-5731-815a-78e3cd42883c
task_key
default--test--244
task_revision_id
3
config / split
default / test

Official source

initial import