SOLUTION: Suppose that the cost function for the production of a particular item is given by the equation c(x)=2x²-320x+12920, where x represents the number of items. How many items should

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Suppose that the cost function for the production of a particular item is given by the equation c(x)=2x²-320x+12920, where x represents the number of items. How many items should       Log On


   

Question 1161228: Suppose that the cost function for the production of a particular item is given by the equation c(x)=2x²-320x+12920, where x represents the number of items. How many items should be produced to minimize the cost?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Find the vertex of this quadratic function.


The value of x is  x= - b%2F%282a%29,  where "a" is the coefficient at x^2  and b is the coefficient at x.


So,  x = - +-320%2F%282%2A2%29 = 320%2F4 = 80.    ANSWER

Solved.

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On finding the maximum/minimum of a quadratic function see the 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


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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.