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Algebra
Pregunta

1. The manager of a hardware store sells batteries for \( \$ 5 \) a package. She wants to see how much money she will earn if she increases the price in \( 10 c \) increments. A model of the price change is the revenue function \( R ( x ) = - x ^ { 2 } + 10 x + 3000 \) , where \( x \) is the number of \( 10 \varphi \) increments and \( R ( x ) \) is in dollars. Explain how to determine the maximum revenue. 

2. Determine the maximum revenue generated by the manager in question \( 1 \) . 

Answer

\(R ( x ) = - x ^ { 2 } + 1 0 x + 3000 \) 

\( - \frac { b } { 2 a } = \frac { - 10 } { 2 \times ( - 1 ) } = 5 \) 

\( R ( 5 ) = - 5 ^ { 2 } + 10 \times 5 + 3000 = 3025\) 

Solución
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