Logistic Harvesting Problem Take any positive a b and r an

Logistic Harvesting Problem

Take any positive a , b , and r and look at Clear[f, y, a, b, rl Solve[f[y] e, y] You can see that three cases pop up > fly]-0 has two real roots; this happens when -> fly] 0 has one real root; this happens when ab-4r=0 -> f[y] = 0 has no real roots because f[y] If a , b ,andr are set so that then, no matter what y[0] is, when the farmer begins the harvest, disaster is inevitable -> If a , b , and r are set so that then harvesting can continue successfully provided y[0] is bigger than at least one of the following numbers

Solution

If f[y]=0,has two real roots,when ab-4r>0

If f[y]=0,has one real root ab-4r=0

If f[y]<0,has no real root because ab-4r<0