(20pts) Monthly demand for an aggregate unit is given as follows. Planning horizon is 3 months. Each worker can produce 0.2 aggregate units in any workday. At the beginning of Month-1 there are 10 workers: Month 1 2 3 Nr. of work-days 13 21 16 Demand (aggr.units) 30 65 35 Is the given number of initial workers sufficient to fulfill the demand for the first three months given that beginning inventory is zero. If the answer is no, what should be the minimum number of workers which should be present at the beginning of the first month so that monthly demand can be met with no shortages. While answering this question assume the following: (i) During Month-l workers can be hired or fired, but after that workforce size will remain unchanged, (ii) Backorders are not allowed, (iii) Overtime production is not possible