A business (Widgets, Inc) forms the linear model of its widget pricing function based on given information:
Consider x represent number of widgets sold, and p(x) price per widget in dollars. Firm starts by selling x = 300 widgets at the set price of $30 each. After holding the "sale", firm proposes that $10 discount on price will yield increase of 50 more widgets sold.
(a) Determine linear pricing function p(x) based on information.
B) Find revenue function R(x)=
c) What sales price p yields maximum revenue?
d) Based on fact that firm wants both sales and price to be positive, find suitable domain of pricing function p(x)?