Part 1: Kurt Cobain, a plant manager at the COBAIN INTERNATIONAL COMPANY was preparing for a meeting with his management team. The goal of the meeting was to develop a workforce level plan for the next 12 weeks period. Company History COBAIN was founded by Kurt Cobain when he was only two years out of graduate school. Kurt's knowledge of mass customization has been the driving force behind COBAIN. The company produces five major custom products. Each of the products is processed through up to four different WorkCentre. Although each item is unique, the processing time at each WorkCentre is constant due to the sophisticated equipment used. Cobain currently has 50 full-time employees working in manufacturing. Each employee is scheduled to work 30 hours per week. Because mass custotnization is used, COBAIN carries no finished-goods inventory. Courtney Love, the production manager, received the following information in advance of the meeting demand forecasts for prodacts A, B, C, D, and E for each week of the next planning horizon as shown in the table, and standards labor time estimstes for each product. The standard labor times are product-A 0.40 hours, product B-0.45 hours, product C-0.35 hours, product D- 0.60 hours, and product E-0.25 hours. Courtney Love knew that it wotld be useful to have you, her assistant, generate additional information for this meeting, Courtney Love wants to develop two possible aggregate planning plans and also formulate the problem. - The first plan uses a constant workforce without backorder. - The second plan uses the original full-time workforce (50-employees) supplemented by the use of overtimse or subcontractor to avoid buckorders. - In addition, Courtney Lowe wants to develop a linear programming approach to solve a problem. You need to develop mathematical programming and solve by using LINDQ. To develop the two plans and calculate thelr assoclated costs, you need to know that the coBAIN time wage rate is $15 per hotir, overtime is $20 per hour, hiring costs are $500 per employee, and firing costs are $700 per employee. Your job is to provide analyses of these two plans and the LP Model for Courtmey Love to use at the meeting. Make aure to inelude your recontmendation after considering the cost. If you need further information or you believe that some information is missing, you are free to make assumptions. Do not forget to mention your assumptions