A certain travel agency offered a tourthat will cost each person P 1500.00 if not more than 150 persons will join,however the cost per person will be reduced by P 5.00 per person in excessof 150. what will be the maximum profit?

Answer 1

don't know about profit, but the revenue is price * quantity. So,

r(x) =
1500x if x <= 150
x(1500-5(x-150)) if x > 150

This is just a parabola with vertex at (225,253125), which is clearly greater than the flat rate for groups of less than 150.