It is estimated that the demand for the next three months is 850, 990, and 510, expressed in thousands of cookies. During a 46-day period when there were 120 workers, the company produced 1.7 million cookies. Assume that the numbers of workdays over the three months are respectively 26, 24, and 20. There are currently 100 workers employed. There is no starting inventory of cookies, and we want to have 30 (in thousands) cookies on hand by the end of the third month. To formulate a linear program problem for the aggregate plan, we can define the variables as follows, W Work force level in period t Pt Production level in periodt Inventory level at end of period t Number of workers hired in period t L Number of workers laid off in periodt 0 Overtime production in units U. Worker idle time in units SE Number of units subcontracted in time period t H. The parameters are defined as follows, CH cost of hiring one worker CL cost of laying off one worker G cost of holding 1 unit of inventory for 1 period CR cost of producing 1 unit on regular time CO incremental cost of producing 1 unit on overtime CU Idle cost per unit of production Cost to subcontract 1 unit of mdrtion ca CR cost of producing 1 unit on regular time CU C nt incremental cost of producing 1 unit on overtime Idle cost per unit of production Cost to subcontract 1 unit of production Number of production days in period t Number of aggregate units produced by 1 worker in 1 day Forecast of demand in period t Initial inventory on hand Initial workforce at start of planning horizon K D 10 Wo Given the following linear program for aggregate planning. Min S (CHHI + L+ + CRP + CO + CUU, + css) Subject to W = W-1+H- for 1