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FlexMan, an electronics contract manufacturer, uses its Topeka, Kansas, facility to produce two product categories: routers and switches. Consultation with customers has indicated a demand forecast for each category over the next 12 months (in thou- sands of units) to be as shown in Table 8-11. Manufacturing is primarily an assembly operation, and capacity is govened by the number of people on the pro- duction line. The plant operates 20 days a month, 8 hours cach day. Production of a router takes 20 minutes, and pro- duction of a swich requires 10 minutes of worker time. Each worker is paid $10 per hour, with a 50 percent premium for any overtime. The plant currently has 6,300 employees. Overtime is limited to 20 hours per employce per month. The plant currently maintains 100,000 routers and 50,000 switches in inventory. The cost of holding a router in inven- tory is $2 per month, and the cost of holding a switch in inventory is $1 per month. The holding cost anises because products are paid for by the customer at existing market rates when purchased. Thus, il FlexMan produces carly and holds in inventory, the company recovers less given the rapidly dropping component prices Bild an Integer Linear Programing model to find the minimum cost production schedule for RexMen, assuming that (a) The cost of hiring a new employee is $700 and the cost of layoff is $1000 Hring and layoffs are performed at the beginning of each month Remanains to finish the year with 6300 employees (6) RexMen may subcontrad production both types of products to another firm during some of the months This fimm will charge $per router and $4 per switch JUST LP MODEL IS ROURED DO NOT SUBMT Saunan A COPY OF THS ALEMAYE DOWNLOADED ROMTHS ASSIGWAN. Month January February March April May June July August September October November December Demand Forecast for Flex Man Router Demand Switch Demand 1,800 1,600 1,600 1,400 2,600 1,500 2.500 2,000 800 1,500 1,800 900 1.200 200 1.400 800 2.500 1,400 2,800 1.700 1.000 1,000 900 800