Quantity discount models extend EOQ analysis by incorporating the realistic pricing structure where unit cost decreases as order size increases, either as all-units discounts (entire order gets the lower price) or incremental/marginal discounts (only units above the breakpoint are discounted). The optimization becomes piecewise: the EOQ formula may yield an economically infeasible order quantity, requiring evaluation of cost at feasible discount tier breakpoints to determine the true cost-minimizing order size. Table of Contents: - Quantity discount pricing: realistic cost reduction with larger batch sizes - All-units discount structure: entire order price determined by total quantity - Incremental/marginal discount structure: tiered pricing only for quantities exceeding thresholds - Piecewise total cost function: different cost curves for each discount tier - Feasibility constraint on EOQ: optimal formula quantity may fall outside available discount tiers - Evaluation method: check EOQ feasibility, then evaluate cost at discount breakpoints - Cost structure interaction: discount savings balanced against increased holding costs - Economic order quantity computation: applied separately for each feasible discount level - Decision criterion: minimum cost across all feasible tier-specific calculations - Unit cost impact on total: multiplication of quantity by unit price adds new dimension
Quantity discount models extend EOQ analysis by incorporating the realistic pricing structure where unit cost decreases as order size increases, either as all-units discounts (entire order gets the l…