polancodaniella445 polancodaniella445
  • 03-05-2022
  • Mathematics
contestada

help please and thank you

help please and thank you class=

Respuesta :

mkmkaleb
mkmkaleb mkmkaleb
  • 03-05-2022

Answer:

120 cars

Step-by-step explanation:

The given function is

[tex]C(x)=0.5x^2-120x+21,481[/tex]

and its parent function would be

[tex]f(x)=ax^2+bx+c[/tex]

So,

[tex]a=0.5[/tex]

[tex]b = -120[/tex]

and

[tex]c = 21,481[/tex]

The minimum cost would be found using:

[tex]x = -\frac{b}{2a}[/tex]

So just input a and b into the function:

[tex]x= -\frac{-120}{2(0.5)}[/tex]

[tex]x=-\frac{-120}{1}[/tex]

[tex]x = 120[/tex]

Therefore there must be 120 cars made to minimize the cost.

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