### Semiprecious stones to make bracelets and rings

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A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of \$8.30 per stone for quantities of 600 stones or more, \$8.70 per stone for orders of 400 to 599 stones, and \$9.20 per stone for lesser quantities. The jewelry firm operates 112 days per year. Usage rate is 19 stones per day, and ordering costs are \$50.

a. If carrying costs are \$1 per year for each stone, find the order quantity that will minimize total annual cost. (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Order quantity             stones

b. If annual carrying costs are 32 percent of unit cost, what is the optimal order size? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Optimal order size             stones

c. If lead time is 2 working days, at what point should the company reorder? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Reorder quantity             stones

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