At a certain software company, the cost, $C$ of developing and producing a computer software program is related to the number of copies produced $x$ by the equation $C = 30, 000 + 2 x$ . The company's total revenues, $R$ are related to the number of copies produced $x$ by the equation $R = 6 x - 10, 000$ . Calculate the number of copies the company just produce, so that the total revenue is equal to the cost.

5, 000

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6, 000

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7, 500

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9, 000

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10, 000

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Solution

The correct option is E $10, 000$
The cost of developing and producing a computer software $C = 30000 + 3 x$
And Total revenue of copies produced is $R = 6 x - 10000$
Then $6 x - 10000 = (30000 + 2 x)$
$\Rightarrow 6 x - 10000 - 30000 - 2 x = 0$
$\Rightarrow 4 x - 40000 = 0$
$\Rightarrow 4 x = 40000 O r x = 10000$
Then option (D) $10000$ copies is answer.

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The correct option is E 10,000The cost of developing and producing a computer software C=30000+3x And Total revenue of copies produced is R=6x−10000Then 6x−10000=(30000+2x)⇒6x−10000−30000−2x=0⇒4x−40000=0⇒4x=40000Orx=10000Then option (D) 10000 copies is answer.