View Full Version : R(n)=80n,C(n)=20(n)+200, what is the profit function
jdclark1
Aug 30, 2010, 02:36 PM
A company's profit is equal to the revenue it generates minus the cost of producing and selling the product. The revenue function for a certain product is R(n)=80n and its cost function is 20n+200, where n is the number of units made and sold. What is the product function?
ArcSine
Aug 30, 2010, 03:15 PM
If the total revenue for n units is given by R(n), and the total cost is C(n), then the profit function P(n) for any arbitrary n units is simply
P(n) = R(n) - C(n).
That's the generic layout. You replace R(n) and C(n) by the specific algebraic expressions you have for each, and simplify.