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25 August, 17:19

Consider the all-units quantity discount schedule below. Quantity Ordered Price Per Unit EOQ at that Price 1-499 $300 952 500-999 $280 986 1000-1499 $260 1023 1500-1999 $230 1087 2000 and over $200 1166 Which of the following sets of order quantities is guaranteed to contain the optimal solution (i. e., best order quantity) ? A. {986, 1023, 1500 B. 1023, 1500, 2000} C. (986, 1000, 1500, 2000) D. {1, 500, 1000, 1500, 2000} E. [952, 986, 1023,1087, 1166]

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  1. 25 August, 17:46
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    Answer: B. 1023, 1500, 2000}

    Explanation:

    The Optimal solution should contain the set of quantities that would require the lowest no. of orders to achieve a discount in a class.

    1,023 is quite close to the lowest amount required of 1,000 in the 1,000 to 1,499 range.

    So are 1,500 and 2,000.

    Option D can also work but it has too many order quantities and will inflate the price.

    The Optimal Solution therefore has to be from this option.
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