SOLUTION: We want to set up a business so that the minimum cost occurs when we make 13,000 items per hour at a cost of $21 per item. We also know that if we make 9,000 items per hour the cos

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: We want to set up a business so that the minimum cost occurs when we make 13,000 items per hour at a cost of $21 per item. We also know that if we make 9,000 items per hour the cos      Log On


   

Question 366578: We want to set up a business so that the minimum cost occurs when we make 13,000 items per hour at a cost of $21 per item. We also know that if we make 9,000 items per hour the cost per item is $24.
Create a quadratic equation that represents the situation. Give you final answer in the form y=ax^2+bx+c
I cannot figure out how to write anything in this form. I don't understand which each letter stands for.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: The quadratic in the form y=a%28x-h%29%5E2%2Bk gives you the vertex (h,k). At this vertex is the highest/lowest point. Since we want to minimize costs, this means that (h,k) is the lower point. Also, this means that a%3C0 (ie 'a' is negative). Let me know if this is enough to get started.