Given:
The cost to install x number of central air conditioning units for a company is given by the function
[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]
To find:
The cost to install 45 air conditioners.
Solution:
We have,
[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]
Putting x=45, we get
[tex]C(45)=\dfrac{4000(45)+1300}{3}[/tex]
[tex]C(45)=\dfrac{180000+1300}{3}[/tex]
[tex]C(45)=\dfrac{181300}{3}[/tex]
[tex]C(45)=60433.3333...[/tex]
[tex]C(45)\approx 60433.33[/tex]
Therefore, the cost to install 45 air conditioners is $60433.33.
