Question 1 (50 points): The following table represents the forecast workforce levels for 6 months in widgets manufacturing factory. Month Forecast 1 20 2 15 3 13 4 25 5 21 6Total 18 112 The factory is planning to schedule the required workforce level for the given next six months, however, the cost components make the panning more challenging. They have decided to employ either a month- by-month hire-layoff policy (chase) or a constant workforce level (level strategy). The estimated costs are as follows: cost ($)/period/worker Cost component: Workers-utilized cost Undertime cost Overtime cost Hire cost Layoff cost 2000 1000 3000 1000 500 Currently they have 10 workers and there are no limits on over/undertime number of workers. 1. Present a table that shows the following for all periods for the chase strategy (show the total costs) Inputs Forecasted demand Workforce level Undertime Overtime Derived Utilized time Hires Layoffs Calculated Utilized time cost Undertime cost Overtime cost Hiring cost Layoff cost 2. For the level strategy, start with a constant workforce level that equals the minimum of all the periods, find the related total cost, then increase by 1 worker each time till you hit the maximum required number of workers. Put all the resulting total costs for each workforce level in one table. Sketch the number of workers vs. the cost and find the best number of workers to be employed (i.e., the one with the minimum cost). Question 1 (50 points): The following table represents the forecast workforce levels for 6 months in widgets manufacturing factory. Month Forecast 1 20 2 15 3 13 4 25 5 21 6Total 18 112 The factory is planning to schedule the required workforce level for the given next six months, however, the cost components make the panning more challenging. They have decided to employ either a month- by-month hire-layoff policy (chase) or a constant workforce level (level strategy). The estimated costs are as follows: cost ($)/period/worker Cost component: Workers-utilized cost Undertime cost Overtime cost Hire cost Layoff cost 2000 1000 3000 1000 500 Currently they have 10 workers and there are no limits on over/undertime number of workers. 1. Present a table that shows the following for all periods for the chase strategy (show the total costs) Inputs Forecasted demand Workforce level Undertime Overtime Derived Utilized time Hires Layoffs Calculated Utilized time cost Undertime cost Overtime cost Hiring cost Layoff cost 2. For the level strategy, start with a constant workforce level that equals the minimum of all the periods, find the related total cost, then increase by 1 worker each time till you hit the maximum required number of workers. Put all the resulting total costs for each workforce level in one table. Sketch the number of workers vs. the cost and find the best number of workers to be employed (i.e., the one with the minimum cost)
