A company is developing a linear programming model for its aggregate production plan.If Wt = workforce size for period t,Ht = number of workers hired for period t,and Ft = number of workers fired for period t,then the company's workforce constraint for period 4 is
A)W4 = W3 - H4 + F4
B)W4 = W3 + H4 - F4
C)W4 = W3 + H3 - F3
D)W4 = W3 + H4

Question

Quizplus · Accepted Answer

The workforce constraint for period 4 would have the workforce size for period 3 (W3) plus the number of workers hired in period 4 (H4) minus the number of workers fired in period 4 (F4), which is represented by choice B. A is not correct because it does not account for the workers hired in period 4, while also subtracting those fired in period 4, leading to an incorrect workforce size. C is incorrect because it is referencing period 3 instead of period 4. D is incorrect as it only takes into account hiring for period 4 and not firing, which is necessary to determine the workforce size for that period.

A Company Is Developing a Linear Programming Model for Its