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.

Answer: E

Source: GMAT Prep