Solve the Problem $\mathrm { R }$ (In Dollars) Is $\mathrm { R } ( \mathrm { p } ) = - 5 \mathrm { p } ^ { 2 } + 1310 \mathrm { p }$

question 88

Multiple Choice

Solve the problem.
-The manufacturer of a CD player has found that the revenue $\mathrm { R }$ (in dollars) is $\mathrm { R } ( \mathrm { p } ) = - 5 \mathrm { p } ^ { 2 } + 1310 \mathrm { p }$ , when the unit price is $p$ dollars. If the manufacturer sets the price $p$ to maximize revenue, what is the maximum revenue to the nearest whole dollar?

• A) \(\$ 85,805\)
• B) \(\$ 171,610\)
• C) \(\$ 343,220\)
• D) \(\$ 686,440\)

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