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A Health Food Store Stocks Bottles of Multivitamins

Question 88

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A health food store stocks bottles of multivitamins. It orders equal quantities of stock from its wholesaler at equally spaced points throughout the year. The cost of replacing each order is $250. Moreover, the cost of keeping a jar of vitamins in inventory is $1 per year. The store predicts that it will sell 12,500 bottles of vitamins in the next year. How many orders of how many bottles each will result in a minimum cost to the health food store?
Enter your answer exactly as: a, b (integers) where a represents the number of orders and b represents the number of bottles in each order (no units or words).

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