A Manager Cares About the Number of Workers Under Her

A manager cares about the number of workers under her command. She can choose between two projects: Project A allows her to hire workers who must be paid W_A each, Project B allows her to hire workers who must be paid W_B each. She is allocated a budget of $100 that she can allocate to either project. Which of the following accurately represents the manager's problem?

A) The objective function is Max (N_A+N_B) , where N_i is the number of workers on project i (i = A, B) ; the constraint is W_AN_A + W_BN_B ≤ $100, where W_i is the wage on project i (i = A, B) .
B) The objective function is Max (N) , where N is the number of workers under the manager's control; the constraint is W_A + W_B ≤ $100, where W_i is the wage on project i (i = A, B) .
C) The objective function is Max (W_AN + W_BN) , where N is the number of workers and W_i is the wage of the worker on project i (i = A, B) ; the constraint is W_A + W_B ≤ $100.
D) Max (B/N) , where B is the manager's budget and N is the number of workers under the manager's command; the constraint is W_AN + W_BN ≤ $100.