Hi, I can’t solve all of these questions, could someone please help me out?


1) The manager of a clothing company is analyzing its costs, revenues, and
profits to plan for the upcoming year. Last year, a certain type of children's winter
Icoat was priced at $40, and the company sold 10 000 of them. Market research
says that for every $2 decrease in the price, the manager can expect the company
to sell 500 more coats.

a. Model the expected revenue as a function of the number of price decreases
for this manager.

b. Without graphing, determine the maximum revenue and the price that will
achieve that revenue.

c. What does the y-intercept represent in this situation? What do the x-
intercepts represent?

d. What are the domain and range in this situation?

e. Explain one of the assumptions that the manager is making in using this
function to model the expected revenue.