A manager is attempting to assess the probability of a recession ending in the next six months and its impact on expected profitability. The manager believes there is a 75 percent chance the recession will end in six months and profits will return to $400 million. However, there is a 25 percent chance the recession will not end in six months, resulting in a $5 million loss. The expected profits over the next six months are:

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