The total revenue R earned (in thousands of dollars)from manufacturing handheld video games is given by? $R ( p ) = - 25 p ^ { 2 } + 1200 p$ ? where p is the price per unit (in dollars).
?
Find the revenue when the price per unit is $20.
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A)$14,000,300
B)$14,000,200
C)$14,000,400
D)$14,000,000
E)$14,000,100

Question

Quizplus · Accepted Answer

To find the revenue when the price per unit is $20, substitute $p = 20$ into the revenue function $R(p) = -25p^2 + 1200p$. This gives $R(20) = -25(20)^2 + 1200(20) = -25(400) + 24000 = -10000 + 24000 = 14000$. Since the revenue is given in thousands of dollars, $14,000 translates to $14,000,000.

The Total Revenue R Earned (In Thousands of Dollars)from Manufacturing R(p)=−25p2+1200pR ( p ) = - 25 p ^ { 2 } + 1200 pR(p)=−25p2+1200p

The Total Revenue R Earned (In Thousands of Dollars)from Manufacturing $R ( p ) = - 25 p ^ { 2 } + 1200 p$