Consider the SIR equations:

S(t) = aS(t)I(t) I(t) = aS(t)I(t) bI(t) R(t) = bI(t) with initial populations of Potentials (S), Actives (I), and Rejected (R): S(0) = 10000 I(0) = 100 R(0) = 0.

Suppose that b = 1/14, how big a need to be to avoid the product bust?