Piecewise Continuous Model (with discount) 

The supplier offers us a 2% discount if we order at least 2500 cases per shipment.
Is it worth raising our order level?
 

 

Define a discount function so that we can insert it into our EOQ function directly. 

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The discount function for our situation is Discount(2500, 0.02, x). 

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Define a new EOQ function that incorporates our discount. 

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Plot and check to see if the discount is worth having. 

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Yes! The new curve dips below the old mincost. What is the new cost? 

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We save by ordering 2500 cases each time.