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MGMT511 - Quantitative Methods for Business Assignment
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Assignment Task
Questions
1. BMG-Bicycle produces, distributes, and sells high-quality bicycles. Its supply chain consists of three factories (located in Shanghai, Guangzhou, and Taipei) that produce bicycles. The Shanghai and Guangzhou facilities can produce 350 bicycles per month, but the Taipei plant is larger and can produce up to bicycles per month. Bicycles must be shipped from the factories to one of four distribution centers (located in UAE, Bahrain, Qatar, and Oman). Each distribution center can process (repackage, mark for sale, and ship) at most 500 bicycles per month. Shipping Costs ($ per skateboard)
| Factories | UAE | Bahrain | Qatar | Oman |
| Shanghai | $25.00 | $25.00 | $35.00 | $40.00 |
| Guangzhou | $35.00 | $45.00 | $35.00 | $42.50 |
| Taipei | $40.00 | $40.00 | $42.50 | $32.50 |
| Retailers | UAE | Bahrain | Qatar | Oman |
| Extreme Sports | $30.00 | $20.00 | $35.00 | $27.50 |
| Mountain Biking | $27.50 | $32.50 | $40.00 | $25.00 |
| Bike Zone | $30.00 | $40.00 | $32.50 | $42.50 |
2. Build a model to minimize the transportation cost of a logistics system that will deliver bicycles from the factories to the distribution centers and from the distribution centers to the retailers.
3. Find the optimal production strategy and shipping pattern for BMG-Bicycle. What is the minimum attainable transportation cost?
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