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    Space Constrained Inventories

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    A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables. The space consumed by each kind of vegetable is proportional to its cost, and tomatoes consume 0.5 square feet per pound. There is a $100 setup cost for replenishing any of the vegetables, and the interest rate is 25% per annum. The 3 vegetables for sale have the following data:

    Tomatoes: annual demand is 850 pounds and the cost per pound is $0.29.
    Lettuce: annual demand is 1280 pounds and the cost per pound is $0.45.
    Zucchini: annual demand is 630 pounds and the cost per pound is $0.25.

    What is the optimal quantity for purchasing each vegetable?

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    Solution Summary

    Solution depicts the steps to calculate optimal for purchasing each of the given vegetables.