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 cent increments.A model of the price change is the revenue function R(x)= -x^2+10x+3000, where x is the number of 10 cent increments and R(x) is in dollars.

Determine the maximum revenue

Question

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 cent increments.A model of the price change is the revenue function                                                                         R(x)= -x^2+10x+3000, where x is the number of 10 cent increments and R(x) is in dollars.

Determine the maximum revenue

anonymous · Answer

ok...

anonymous · Answer

@pooja195 @Nnesha

anonymous · Answer

@Englishguy

directrix · Answer

The graph of y=  -x^2+10x+3000 is a parabola.

I suspect that the vertex coordinates of the graph will give an idea of the number of ten cent increases that cause a maximum revenue.

anonymous · Answer

I'm no good with math, sorry

anonymous · Answer

i guess u get that from ur name

directrix · Answer

The maximum revenue should be the y-value of the vertex of the parabola.

directrix · Answer

To get the x coordinate of the vertex, crank this out:

x vertex = -b/(2a) where b = 10 and a = -1.

(These a and be values come from the coefficients of the x and x^2 terms of the revenue polynomial.)

directrix · Answer

@shelby1290

x vertex = -b/(2a) where b = 10 and a = -1.

Question:

|dw:1448164849929:dw|