You can put this solution on YOUR website!
Three pieces of information are given in the problem to allow you to solve for the constants a, b, and c.
Y(5) = 8750
Y(10) = 15000
Y(0) = 0
Substituting into this equation YIELDS [Pun!! Get it??]:
8500 = 25a + 5b
15000= 100a + 10b
0 = 0(a) + 0(b) + c
The last equation gives you immediately that c = 0.
Multiply the first equation by -2:
-17500 = -50a - 10b
15000 = 100a + 10b
-2500 = 50a
Substituting back into either equation gives you b = 2000
The equation of Yield is
, which is a parabolic graph opening down.
The maximum yield occurs at the vertex, which can be found at
= maximum yield
Domain of this problem is from x = 0 to 40: [0, 40]
Range Y is from 0 to the maximum at 20,000: [0, 20,000]
R^2 at SCC