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

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) (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?
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Find the vertex of the parabola C = 2x^2 -160x + 3600
It's at x = -b/2a = 160/4 = 40
40 skirts ---> minumum Cost
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What is the minimum cost?
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C(x) = 2x^2 -160x + 3600
C(40) = 2*1600 - 160*40 + 3600
= 3200 - 6400 + 3600
= $400

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