SOLUTION: Solve the problem and graph: Suppose that a cost function for the production of a particular item is given by the equation C(x) =2x^2-320x+12,920, where x represents the number

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Question 1023804: Solve the problem and graph:
Suppose that a cost function for the production of a particular item is given by the equation C(x) =2x^2-320x+12,920, where x represents the number of items. How many items should be produced to minimize the cost?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Change to standard form and you can read the vertex (the minimum value for your equation) directly, or use as a formula and form and compute the term.

Study this lesson: Quadratic equation: change from general form to standard form

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the problem and graph:
Suppose that a cost function for the production of a particular item is given by the equation C(x) =2x^2-320x+12,920, where x represents the number of items. How many items should be produced to minimize the cost?
Minimum cost occurs where x+=+-+b%2Fa, or at: x+=+-+-+320%2F%282+%2A+2%29, or: x+=+320%2F4, or: x+=+80

Number of items to produce to MINIMIZE cost: highlight_green%2880%29