1. An office chair manufacturer models its weekly production since 2001 by the function N = 100 + 25t, where t is the time, in years, since 2001, and N is the number of chairs. The size of the manufacturer's workforce can be modeled by the function W = 3N.: a. Write the size of the workforce as a function of time w(t) in simplest terms. b. State the domain and range of the function w(t) that is relevant to this problem c. What transformations does the parent function f(x) = x undergo resulting in the transformed function w(t)? Describe the transformation in terms of; reflections, stretches and compressions, and shifts. d. Sketch the relevant graph for W(t), for the chair company.