!!!!!!!!!!!!!!!! Question :About the Example question = NEED Mathematical. LP Modelling like minimize: and optimal solution.!!!!!!!! and constraints!!!!!!!!!!!! by following below.

- Allow Backorder $15

- Wages and benefits: $15/worker/hour

- Hiring cost = $200

- Layoff cost = $500

- Monthly inventory carrying cost = 2%

- Beginning workforce level = 1,437

- Beginning inventory level = 215,000

- Ending inventory level = 5 days of supply (67,000 units)

Need all processing and math Model, optimal solution. Thanks for all of your help

5. Mathematical Programming Approaches to SOP 5.1. Linear Programming Model Notations: I planning-horizon length, in periods Di -forecasted number of units demanded in period / n, number of units that can be nade hy one worker in period 1 CT - cost to produce one unit in period i Ct of one workcr in pcriod CIcost t hire one worker in period / (y = cost lo lay off one worker in period 1 C-cost to hold one unit in inventory for period Cost o backorder one unit for period Decision Variables: P, number of units produced in pcriod r W, number of workers available in period H, -number of workers hired in period 1 umber of workers laid off in period / r, number of units held in inventory at the end of period , Bnumber of units backordered at the end of period 1 5. Mathematical Programming Approaches to SOP 5.1. Linear Programming Model Notations: I planning-horizon length, in periods Di -forecasted number of units demanded in period / n, number of units that can be nade hy one worker in period 1 CT - cost to produce one unit in period i Ct of one workcr in pcriod CIcost t hire one worker in period / (y = cost lo lay off one worker in period 1 C-cost to hold one unit in inventory for period Cost o backorder one unit for period Decision Variables: P, number of units produced in pcriod r W, number of workers available in period H, -number of workers hired in period 1 umber of workers laid off in period / r, number of units held in inventory at the end of period , Bnumber of units backordered at the end of period 1