A car manufacturer is planning production for next year. The forecasted demand for the next 12 months are: 940, 790, 360, 720, 270, 130, 160, 300, 990, 290, 280 and 790. Workers are paid $5000 per month. The cost of hiring a worker is $4000 and the cost of firing a worker is $6000. Workers are hired and fired at the beginning of each month. All workers at the end of one month are available to work the next month. Each worker can produce up to eight cars per month. The holding cost per car is $500 a month. At the beginning of month 1, there are 500 cars in inventory and 60 workers. How can the company minimize the cost of meeting demand

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005