Hello,Originally Posted by usm_67
Let be x = number of students (keep in mind that this x must be a natural number because 1.5 students are quite a funny sight)Originally Posted by usm_67
Let be p(x) = profit with respect to the number of students.
Then is the quadratic equation you're looking for.
If he sells 0 (zero) packages to 0 (zero) students his profit will be zero (0). So the c of the quadratic equation becomes zero (0):Originally Posted by usm_67
Now plug in the values you know. You'll get 2 linear equations:
0 = a*144+b*12
Solve for a and b and you'll get: a = 31.25 and b = -375
Plug in 18 for x:Originally Posted by usm_67
Plug in 875 for p(x):Originally Posted by usm_67
This is a quadratic equation in x. Solve for x and you'll get:
x = 14 or x = -2.
(The (-2) students are the missing ones, which will appear in July when the snow has melted away)