Step 3: Q3: Should TechGear place a larger order to receive a discount?   The vendor offers a 5% discount on the purchase price if TechGear orders five times the EOQ (6,000 units instead of 1,200). To decide whether to take this offer, we compare the total costs with and without the discount. The total cost consists of:   1. Ordering cost (cost of placing orders) 2. Holding cost (cost of holding inventory) 3. Purchase cost (cost of buying the products)   We calculate the total costs in both cases:   1. With EOQ (1,200 units): Ordering cost: Holding cost: Purchase cost: Total cost: 2. With larger order (6,000 units): Ordering cost: Holding cost: Purchase cost with 5% discount: Total cost:   Since the total cost with the larger order is lower ($974,400) than the cost with EOQ ($984,000),** TechGear should take the discount and place the larger order.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Step 3: Q3: Should TechGear place a larger order to receive a discount?

 

The vendor offers a 5% discount on the purchase price if TechGear orders five times the EOQ (6,000 units instead of 1,200). To decide whether to take this offer, we compare the total costs with and without the discount. The total cost consists of:

 

1. Ordering cost (cost of placing orders)


2. Holding cost (cost of holding inventory)


3. Purchase cost (cost of buying the products)

 

We calculate the total costs in both cases:

 

1. With EOQ (1,200 units):

Ordering cost:

Holding cost:

Purchase cost:


Total cost:


2. With larger order (6,000 units):

Ordering cost:

Holding cost:

Purchase cost with 5% discount:


Total cost:

 

Since the total cost with the larger order is lower ($974,400) than the cost with EOQ ($984,000),** TechGear should take the discount and place the larger order.

 

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