SOLUTION: The cost of making x skirts per day is given by the equation C = 2x^2 -160x + 3600, where c is the cost in dollars. How many skirts should be produced in order to minimize costs? W

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The cost of making x skirts per day is given by the equation C = 2x^2 -160x + 3600, where c is the cost in dollars. How many skirts should be produced in order to minimize costs? W      Log On


   

Question 1155586: The cost of making x skirts per day is given by the equation C = 2x^2 -160x + 3600, where c is the cost in dollars. How many skirts should be produced in order to minimize costs? What is the minimum cost? I do not know how to solve for the answer.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The cost of making x skirts per day is given by the equation C = 2x^2 -160x + 3600, where c is the cost in dollars. How many skirts should be produced in order to minimize costs? What is the minimum cost?
---------
Find the vertex of the parabola C = 2x^2 -160x + 3600
It's at x = -b/2a = 160/4 = 40
40 skirts ---> minumum Cost
-------
What is the minimum cost?
---
C(x) = 2x^2 -160x + 3600
C(40) = 2*1600 - 160*40 + 3600
= 3200 - 6400 + 3600
= $400