Your company has developed a new videoconference gaming platformthat allows players to see and hear their friends while they playtogether remotely. The sales can be modeled by q(p)=350000-2430p^2
where p is the price of the app in dollars and q is the numberof user accounts sold, and the cost of production is
C(q)= 3q+4500
Do all your work neatly labeled on your ownpaper. Â
a. Write the revenue function R(p)
b. Write the cost function C(p)
c. Write the profit function P(p)
d. Use the derivative to find the app price that will maximizeprofit. Round to the nearest cent. $
e. What is the maximum profit, rounded to the nearest cent?$
f. When the profit is maximized, what is the average cost peruser account, rounded to the nearest cent? $
