Assignment $1$ Data: Use the following monthly forecast to create your aggregate plans: $2024$ Forecast: Month Demand $156892609431259246458510246615003716489814135912092109875116082126500$ Assume $20$ production days per month $(4$ weeks of $5$ days each$)$ The ending inventory $($for December of $2023)$ is $3000$ units $$ Assume $0$ units on backorder at the end of $2024$ The number of units produced by each worker is $250$ units per month $$ The desired safety stock level is $2000$ units $($you can only fall below this level to avoid having backorders, even in the Chase Strategy$).$ Average pay applies for the first $40$ hours an employee works in a week. Overtime pay applies for any time over $40$ hours in a given week. The maximum level of overtime any employee can work in a month is $40$ hours. $$ You must employ whole people $$ there are no part time employees. $($However$,$ you can underutilize.$)$ Employees do not produce more per month than is required by the plan $($i$.$e$.,$ no efficiency gains$),$ however they can under$-$produce to satisfy the conditions of the type of plan that you choose. $$ The firm wants exactly $4000$ units to be left in inventory at the end of the fiscal year $($after forecasted December $2024$ demand is satisfied$).$ This is a firm requirement for all plans. $$ The staffing level at the beginning of $2025$ is to be the same as the original staffing level given below $($any staffing changes needed to achieve this are made after the forecasted December $2024$ demand is satisfied$).$ This is a firm requirement for all plans. $$ Any backorder $($negative on$-$hand inventory$)$ is shown as a positive value in the backorder column instead of in the inventory column since it has a different monthly cost per unit. That is$,$ if there is backorder for a period, there will be zero on$-$hand inventories for that period. Be sure to fulfill backorders as soon as possible in the plan.