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23. A manufacturer is in the business of producing small models of the Statue of Liberty. He finds that the daily cost in dollars, C, of ​​producing n statues is given by the quadratic formula C=n^2 - 120 + 4200. How many statues should be produced per day so that the cost will be minimum? What is the minimal daily cost?

23 A manufacturer is in the business of producing small models of the Statue of Liberty He finds that the daily cost in dollars C of producing n statues is give class=

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we are given that :

cost in dollars, C, of ​​producing n statues is given by the quadratic formula[tex] \\\C=n^2 - 120n + 4200\\ [/tex]

The minimum cost will be at the x-coordinate of the vertex of the parabola represented by the given equation.

Compare with the standard equation

[tex] \\\ ax^2+bx+c=0\\ [/tex]

we get a=1, b= -120

X-coordinate of the vertex[tex] \\\=\frac{-b}{2a}=-\frac{-120}{2*1}=60\\ [/tex]

Hence 60 statue should be produced daily to minimize the cost.

Minimum daily cost=60^2 - 120*60 + 4200=$600

we are given that :

cost in dollars, C, of ​​producing n statues is given by the quadratic formula \\\C=n^2 - 120n + 4200\\

The minimum cost will be at the x-coordinate of the vertex of the parabola represented by the given equation.

Compare with the standard equation

\\\ ax^2+bx+c=0\\

we get a=1, b= -120

X-coordinate of the vertex \\\=\frac{-b}{2a}=-\frac{-120}{2*1}=60\\

Hence 60 statue should be produced daily to minimize the cost.

Minimum daily cost=60^2 - 120*60 + 4200=$600

Read more on Brainly.com - https://brainly.com/question/10700464#readmore

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