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

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business

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?

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