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The following information refers to questions 7-11. WislonPC, a PC manufacturer, is making production plans for the coming year. The monthly demand forecasts are shown in the table below: Manufacturing is primarily an assembly operations, and capacity is governed by the number of people on the production line. The plant information is summarized as follows: a)The manufacturing plant's regular operation hours are eight hours each day, 20 days a month. b) Production of a PC takes 15 minutes of a worker's time. c) Each worker is paid $10 per hour for regular time and a 50% premium for any overtime. d) Component cost for each PC totals $200. e) Overtime is limited to 10 hours per employee per month. f) The plant currently maintains 100,000PCs in inventory and wants to d) Component cost for each PC totals $200. e) Overtime is limited to 10 hours per employee per month. f) The plant currently maintains 100,000PCs in inventory and wants to end the year with at least 50,000PCs. g) The cost of holding a PC in inventory is $3 per month. h) The company is considering the option of changing workforce size with demand. The cost hiring a new employee is $500 and the cost of a layoff is $800. i) The plant currently has 6300 employees and aims to end the year with 6300 employees. Assume no backlogs, no subcontracting. The objective is to minimize total costs over the 12-month planning horizon. Dt=# of PCs demanded in time period t(t=1,12) The decision variables are defined as follows: Ht=# of workers hired at the beginning of month t(t=1,,12) Lt= \# of workers laid-off at the beginning of month t(t=1,..12) Wt= workforce size for month t(t=1,..12) Ot=# of overtime hours worked in month t(t=1,..12) The decision variables are defined as follows: Ht= \# of workers hired at the beginning of month t(t=1,,12) Lt= \# of workers laid-off at the beginning of month t(t=1,..12) Wt= workforce size for month t(t=1,,12) Ot= \# of overtime hours worked in month t(t=1,..,12) Pt= \# of PCs produced in month t(t=1,,12) It= \# of PCs held in inventory at the end of month t(t=1,,12) The objective function is Min 1600t=112Wt+15t=112Ot+3t=112It+200t=112Pt+500t=112Ht+800t=112Lt Min 160t=112Wt+15t=112Ot+3t=112It+200t=112Pt+700t=112Ht+1000t=112Lt Min 160t=112Wt+15t=112Ot+3t=112It+200t=112Pt+1000t=112Ht+700t=112Lt Min 1600t=112Wt+15t=112Ot+3t=112It+200t=112Pt+800t=112Ht+500t=112Lt None of above