Math Problem Statement
Consider a single product with the following inventory data: Annual demand (D) =10 000 Ordering cost (S) = 50 Holding cost per unit per year (H) =2 Shortage cost per unit per year (P) = 5 Average daily demand (d) = 40
Using appropriate Mathematical formulas, obtain: (i) The EOQ with Shortages (ii) The Optimal Cycle Time (T) (iii) The plots for the costs (iv) The equation for the holding cost curve (v) The quantity when the holding cost and the ordering cost are the same.
Solution
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Math Problem Analysis
Mathematical Concepts
Inventory Management
Economic Order Quantity (EOQ)
Cost Analysis
Formulas
EOQ with shortages formula
Optimal Cycle Time formula
Cost functions for ordering, holding, and shortage costs
Theorems
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Suitable Grade Level
Advanced Level