Respuesta :

The value of variable is given as,

[tex]C(x)=500000+4.75x\ldots\ldots\text{ (1)}[/tex]

Part (a)

Substitute the given value of x in equation (1),

[tex]\begin{gathered} C(x)=500000+4.75(1000) \\ =500000+4750 \\ =504750 \end{gathered}[/tex]

Thus, the value of C(x) at x=1000 is 504750.

Part (b)

Substitute the given value of x in equation (1),

[tex]\begin{gathered} C(x)=500000+4.75(5000) \\ =500000+23750 \\ =523750 \end{gathered}[/tex]

Thus, the value of C(x) at x=5000 is 523750.

Part (c)

Substitute the given value of x in equation (1),

[tex]\begin{gathered} C(x)=500000+4.75(10000) \\ =500000+47500 \\ =547500 \end{gathered}[/tex]

Thus, the value of C(x) at x=10000 is 547500.

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