Question

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]

Answer 1

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.