Answer:
[tex]P(x)=-0.3x^2+56x-14[/tex]
Step-by-step explanation:
The given functions are
[tex]R(x)=59x-0.3x^2[/tex]
[tex]C(x)=3x+14[/tex]
It is given that
[tex]P(x)=R(x)-C(x)[/tex]
Substitute the values of given functions in the above equation.
[tex]P(x)=59x-0.3x^2-(3x+14)[/tex]
[tex]P(x)=59x-0.3x^2-3x-14[/tex]
Combine like terms.
[tex]P(x)=-0.3x^2+(59x-3x)-14[/tex]
[tex]P(x)=-0.3x^2+56x-14[/tex]
Therefore, the required function is [tex]P(x)=-0.3x^2+56x-14[/tex] .
