The profit \(P,\) in dollars, for any given month at a certain company, is defined by \(P= I - C,\) where \(I\) represen

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The profit \(P,\) in dollars, for any given month at a certain company, is defined by \(P= I - C,\) where \(I\) represents total income, in dollars, and \(C\) represents total costs, in dollars, for the month. For each of the first \(4\) months of the year, \(C = I + 32,000;\) and for each of the next \(3\) months, \(I = C + 36,000.\) If \(I = C + 10,000\) for each of the \(5\) remaining months of the year, what was the company's total profit for the \(12\)-month year?

(A) \(\$10,000\)
(B) \(\$30,000\)
(C) \(\$40,000\)
(D) \(\$50,000\)
(E) \(\$70,000\)

Answer: B

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