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For Manufacturer \(M,\) the cost \(C\) of producing \(X\) units of its product per month is given by \(C = kx + t,\) whe

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For Manufacturer \(M,\) the cost \(C\) of producing \(X\) units of its product per month is given by \(C = kx + t,\) where \(C\) is in dollars and \(k\) and \(t\) are constants. Last month, if Manufacturer \(M\) produced 1,000 units of its product and sold all the units for \(k + 60\) dollars each, what was manufacturer \(M\)'s gross profit on the 1000 units?

(1) Last month, Manufacturer \(M\)'s revenue from the sale of the 1000 units was $150,000
(2) Manufacturer \(M\)'s cost of producing 500 units in a month is $45,000 less than its cost of producing 1,000 units in a month.

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Source: GMAT Prep
Source: — Data Sufficiency |