1. An office chair manufacturer models its weekly production since 2001 by the function _N(t)=100+25t, where t is the time, in years, since 2001, and N(t) is the number of chairs. The size of the manufacturer's workforce can be modeled by the function W(N)=3√N. (a) Write the size of the workforce as a function of time. (b) What is the initial workforce of the manufacturer? (c) State the domain and range of the function in part a) that is relevant to this problem.