Denoting by nt the number of universities using a textbook through semester t of its availability 1n0 = 02, the number of new adoptions in any single semester t can be estimated 1a + bnt - 121m - nt - 12, where a and b are parameters relating to the rapidity of success, and m is the maximum number of universities who will ever adopt.

(a) Given values of nt for t = 1,c, 10, formulate an unconstrained NLP to make a nonlinear least squares fit of the foregoing approximation to these data.

(b) Show that an appropriate change of parameters can covert your model into a linear least squares problem.