A vendor sells pretzels on a city street corner.
He models the monthly costs, in dollars, to operate his business with the function [tex]C(x)[/tex], where [tex]x[/tex] is the number of pretzels he sells:
[tex]\[ C(x) = 0.63x + 800 \][/tex]
Because the vendor sells the pretzels for [tex]\$2.75[/tex] each, he models his monthly revenue from selling [tex]x[/tex] pretzels with the function [tex]R(x)[/tex]:
[tex]\[ R(x) = 2.75x \][/tex]
The function [tex]P(x)[/tex] represents the vendor's monthly profit, in dollars, when selling [tex]x[/tex] pretzels.
[tex]\[ P(x) = R(x) - C(x) \][/tex]
In a month where he sells 600 pretzels, the vendor will make a profit of [tex]P(600)[/tex] dollars. Calculate this profit.