6.
For this problem we will use the fact that:
?????? = ??????? − ????
? ? = ? ? − ?(?)
A company produces and sells copies of an accounting program forhome
computers. The total weekly cost (in dollars) to produce xcopies of the program
is ? ? = 8? + 500, and the weekly revenue for selling all xcopies of the program
is ? ? = 35? − 0.1?).
a. Find a function, ?(?), for the profit of producing andselling x copies.
b. How many programs must be sold each week for the profit to be$1200?
c. How many programs do they need to sell to maximize theirprofit? What is
the maximum profit?