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Heizer and Render Chapter 12 Example 11: Wohl's Discount Store all-units quantity discounts

ToolInventory Policy
SourceHeizer, J., and Render, B. (2011). Operations Management, 10th ed. Prentice Hall, Upper Saddle River, NJ. Chapter 12, Example 11.
LevelUndergraduate

Problem

Wohl's Discount Store sells 5,000 toy race cars a year, ordering costs $49 and holding costs 20 % of the unit price. The supplier charges $5.00 each, $4.80 from 1,000 units and $4.75 from 2,000 units. What order quantity minimizes the total annual cost?

Inputs to Enter

  • Model EOQ with all-units discounts (loads the example), period year: demand 5,000, order cost 49, holding rate 20 %
  • Price schedule: 1, 5.00 / 1000, 4.80 / 2000, 4.75
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Answers

  • Q* at each price 700, 714, 718; the last two are infeasible and are raised to 1,000 and 2,000
  • Total annual cost at 700: 25,000 + 350 + 350 = $25,700; at 1,000: 24,000 + 245 + 480 = $24,725; at 2,000: 23,750 + 122.5 + 950 = $24,822.50
  • Order 1,000 at $4.80

Notes

Choose the quantity-discount model; the select fills the published inputs and price schedule.

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