Question

A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school?

Answer 1

To find the annual profit when 750 students are enrolled in the school, we need to substitute x = 750 into the profit function p(x) = 0.4x^2 - 19x.

p(750) = 0.4(750)^2 - 19(750)
p(750) = 0.4(562500) - 14250
p(750) = 225000 - 14250
p(750) = 210750

Therefore, the annual profit when 750 students are enrolled in the school is $210,750.