Math help!? Word problem
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Math help!? Word problem

[From: ] [author: ] [Date: 12-06-18] [Hit: ]
You can find it by graphing,Hoping this helps!......
Solve the problem.The price p dollars and the quantity x sold of a certain product obey the demand equation
x= -15p + 450; 0 < p < 30

a) express the revenue r as a function
b) what quantity x maximizes the revenue?
c) What price should the company charge to maximize revenue?

-
X= -15p +450

(x-450)/(-15) = p

p= (-1/15)x + 30...this is the demand function for price in terms of x

A) Revenue = R(x)= px = (-1/15)x^2 + 30x

B) this is a parabola that opens down. The max is at the vertex. You can find it by graphing, by calculus (R'= 0) or by x= -b/(2a)

X= -30/(-2/15)=225

C) p= (-1/15)(225)+30= 15


Hoping this helps!
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