A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.90 per stone for quantities of 600 stones or more, $9.30 per stone for orders of 400 to 599 stones, and $9.80 per stone for lesser quantities. The jewelry firm operates 108 days per year. Usage rate is 26 stones per day, and ordering costs are $46. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost.

b. If annual carrying costs are 20 percent of unit cost, what is the optimal order size?

c. If lead time is 5 working days, at what point should the company reorder?

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