Identify each responsibility center as a cost center$($C$),$ a revenue center $($R$),$ a profit center $($P$),$ or an investment center $($I$).$

a$.$ The menswear department at Bloomingdale$$s$,$ which is responsible for buying and selling merchandise

b$.$ The regional factory manager in charge if introducing new product development

c$.$ The sales manager in charge of Nike$$s northwest sales territory overseas.

d$.$ The manager of human resource department of IKEA Company

e$.$ A department$$s manager of McDonald branch.