single item with a constant demand rate

10
A Quantity Discount Pricing Model to Increase Vendor Profits (Monahan) (1) •Strategies for structuring the terms of an optimal quantity discount schedule (OQDS). •Adjusting present pricing schedule to entice major customer to increase his present order size by a factor of ‘K.’ •Lot sizing with quantity discount possibilities – traditionally, solely from buyer’s perspective – assume existing pricing schedule. •OQDS determined by a mathematical model which anticipates the buyer's likely reaction to any vendor proposal.

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Single Item With a Constant Demand Rate

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A Quantity Discount Pricing Model to Increase Vendor Profits (Monahan) (1)• Strategies for structuring the terms of an optimal quantity discount

schedule (OQDS). • Adjusting present pricing schedule to entice major customer to

increase his present order size by a factor of ‘K.’• Lot sizing with quantity discount possibilities – traditionally, solely

from buyer’s perspective – assume existing pricing schedule.• OQDS determined by a mathematical model which anticipates the

buyer's likely reaction to any vendor proposal.

(2) Price Discounts: The Vendor's Leverage• Advantages of larger individual orders:- Vendor will process fewer orders per year -> lower annual order

processing costs;- Longer production runs and fewer manufacturing set-ups ->

manufacturing cost savings;- Capture transportation discounts currently unavailable ->

transportation cost savings;- Change in order pattern – timing and magnitude of payment (OC).

(3) Keeping the Buyer Satisfied

Deterministic world where:•D1 = the total yearly number of units demanded by party 1 (equal to that demanded by his customers);•S1 = the buyer's fixed order processing cost ($/order);•P1 = the current delivered unit price paid by the buyer ($/unit);•H1 = the buyer's yearly inventory holding cost, expressed as a percentage of the value of the item (%/year);•Q1 = the buyer's current order size (units/order).=>

(3)

(3)

(4) The Vendor's Viewpoint

• S2 = the vendor's order processing and manufacturing set up cost ($/order received);• H2 = the vendor's nominal opportunity cost of capital, expressed as an

annual percentage (%/year);• M2= the vendor's gross profit on sales, expressed as a percent;• P1= the pre-discount unit price received by the vendor.

(4)

(5) Accounting for Transportation Cost Savings

(6) Expanding the Basic Model: Cash Flow Considerations

(7) Summary

• In order to operationalize (6) and (11) the supplier must obtain numerical estimates of D1, S1, and H1.• Only reasonably accurate data inputs are required (insensitivity).• Legal litigation and competitive reaction.