Question 334316
A company sells an item for x dollars each.
 The monthly revenue for this model is given by the formula R(x)=-0.08x^2 + 300x.
 Revenue is the product of the price x and the demand (quantity sold).
 I need to factor out the price on the right-hand side of the formula.
:
We know the price = x, therefore:
:
R(x) = -0.08x^2 + 300x
Factor out x
R(x) = x(-0.08x + 300)
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"write a formula D(x) for the monthly demand."
The qty sold (Demand) will be the total (Revenue) divided by the price (x)
therefore
D(x) = {{{(x(-0.08x + 300))/x}}}
Cancel x
D(x) = -0.08x + 300 is the demand function
:
"and find D(3000)".
x = 3000, therefore
D(3000) = -0.08(3000) + 300
D(3000) = -240 + 300
D(300) = 60 is the demand
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Did this shed some light on your understanding of this??