SOLUTION: 1. A carpenter can make tables at a cost of 4000 pesos each. If the carpenter sells the tables at x pesos each, it is determined that he will sell (300 – 2x) tables per year. Expre

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. A carpenter can make tables at a cost of 4000 pesos each. If the carpenter sells the tables at x pesos each, it is determined that he will sell (300 – 2x) tables per year. Expre      Log On


   

Question 847194: 1. A carpenter can make tables at a cost of 4000 pesos each. If the carpenter sells the tables at x pesos each, it is determined that he will sell (300 – 2x) tables per year. Express the annual profit of the carpenter as a function of x.

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
What does it mean to have a profit? It is our revenue - cost.
What is our revenue? It's the # of tables * how much we sold them for.
So our revenue we'll call R(x) = (300-2x)*x
Our cost, we'll call C(x) = 4000.
So P(x) = R(x) - C(x)
Putting this together we get P(x) = (300-2x)*x - 4000 = -2x%5E2+%2B300x+-+4000
Just for fun, this would mean that he would make a profit selling between 15 and 135 pesos.