The capital tour company offers five day tours of Ottawa for groups of students. Some of the company’s costs per student go down as the number of students increases. Other costs go up because of room rentals, meals, and the number of vans that are needed. To determine the profit per student, P dollars, the company uses the function p= -0.6n^2 + 36n - 440, where n represents the number of students taking the tour. Determine the least and greatest numbers of students that should be accepted in order for the tour company to make a profit.

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?