SOLUTION: Suppose that the cost function for the production of a particular item is given by the equation C(x) = 2x2– 320x + 12,020, where x represents the number of items. How many items sh

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Suppose that the cost function for the production of a particular item is given by the equation C(x) = 2x2– 320x + 12,020, where x represents the number of items. How many items sh      Log On


   

Question 1079995: Suppose that the cost function for the production of a particular item is given by the equation C(x) = 2x2– 320x + 12,020, where x represents the number of items. How many items should be produced to minimize the cost?

I want someone to teach me how to do this question. Thanks!!
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
You want to find the minimum of the quadratic function C(x) = 2x%5E2+-+320x+%2B+12020.

It is described in lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.

There are numerous examples of similar solved problems.
See the lessons
    - A rectangle with a given perimeter which has the maximal area is a square
    - A farmer planning to fence a rectangular garden to enclose the maximal area
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area
    - A rancher planning to fence two adjacent rectangular corrals to enclose the maximal area
    - Using quadratic functions to solve problems on maximizing revenue/profit
in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".