Open in App
Log In Start studying!

Select your language

Suggested languages for you:

The order size associated with the economic-order-quantity (E00) model will necessarily decline if a. Ordering costs rise b. Storage costs rise c. Insurance costs for materials in storage fall d. Stockout costs rise

Short Answer

Expert verified
In conclusion, using the EOQ model, the order size will necessarily decline if ordering costs (scenario a) or storage costs (scenario b) rise, as a higher ordering or carrying cost would prompt businesses to order fewer but larger batches of inventory to minimize costs. The order size will increase if insurance costs for materials in storage fall (scenario c). The effect of rising stockout costs (scenario d) cannot be observed directly using the EOQ model.
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Over 22 million students worldwide already upgrade their learning with Vaia!

Step 1: Scenario (a): Ordering costs rise

If the ordering cost (S) increases, then the EOQ will most likely decrease according to the EOQ formula. The reason for this is that a higher ordering cost would prompt the business to order fewer but larger batches of inventory to reduce the costs associated with frequent orders. Thus, the order size will decrease.

Step 2: Scenario (b): Storage costs rise

If storage costs increase, it implies that the holding (carrying) cost per unit (H) goes up. This would lead to an increase in the EOQ, as businesses will want to reduce the amount of inventory they hold to minimize carrying costs. So, the order size will decrease.

Step 3: Scenario (c): Insurance costs for materials in storage fall

A decrease in insurance costs means that the holding (carrying) cost per unit (H) would go down. According to the EOQ formula, when holding costs decrease, the EOQ increases. Therefore, the opposite effect is observed in comparison to scenario (b). In this case, the order size will increase.

Step 4: Scenario (d): Stockout costs rise

A higher stockout cost would encourage businesses to maintain a higher level of safety stock, as running out of stock becomes more expensive. Thus, it would indirectly affect the EOQ model as the overall carrying costs may increase. However, the EOQ formula does not take into account stockout costs. Therefore, we must note that the EOQ formula would not be able to show the effect of stockout costs on order size. In conclusion, based on the EOQ model, the order size will decrease in scenarios (a) and (b), while it will increase in scenario (c). For scenario (d), we cannot observe the effect directly using the EOQ model.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks