The price p and x the quantity of a certain product sold obeys and the demand equation p= -1/5x+100 where 0< x <500 express the revenue R as a function of x
Does p = R? If so, substitute 0 then 500 for x. If not, how do you figure R?
To express the revenue R as a function of x, we need to multiply the price p by the quantity x.
First, let's rewrite the demand equation to solve for p:
p = -1/5x + 100
To find the revenue, we multiply p (the price) by x (the quantity):
R = p * x
Substituting the value of p from the demand equation, we get:
R = (-1/5x + 100) * x
Now, we can simplify this expression:
R = (-1/5x)x + 100x
R = -x/5 + 100x
Therefore, the revenue R as a function of x is given by:
R(x) = -x/5 + 100x