For this problem we will use the fact that:
= −
= − ()
A company produces and sells copies of an accounting program for home
computers. The total weekly cost (in dollars) to produce x copies of the program
is = 8 + 500, and the weekly revenue for selling all x copies of the program
is = 35 − 0.1).
a. Find a function, (), for the profit of producing and selling 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 their profit? What is
the maximum profit?