The document describes a single facility production lot size model that produces multiple products on one machine. It provides notation for demand rates, production rates, holding costs, and setup costs for each product. An example is given with data for 4 products, including production rates, annual demand, setup costs, and more. The optimal solution is calculated as a cycle length of 0.20 years, with calculated lot sizes for each product that satisfy demand over that period. The total cost for the optimal solution is provided as $108,190.

1. Single Facility Lot Size Model Producing n items on a single machine

4. Example data 20 0.003 80 10,000 1000 D 5 0.005 120 50,000 5000 C 15 0.002 70 5,000 2000 B 10 0.001 50 10,000 3000 A Variable cost/unit Setup time Setup cost Production rate Annual demand Product