Develop a network representation of the distribution system. Develop the objective function and the constraints.
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- A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows:
Customers |
|||||
Port |
Atlanta |
Dallas |
Columbus |
Boston |
Port Supply |
Philadelphia |
2 |
6 |
6 |
2 |
5,000 |
New Orleans |
1 |
2 |
5 |
7 |
3,000 |
Demand |
1,400 |
3,200 |
2,000 |
1,400 |
|
- Develop a network representation of the distribution system.
- Develop the objective function and the constraints.
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- Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. D Demand Forecast Component A B C Time Standard Processing Setup (hr/unit) (hr/lot) 0.04 1.0 0.20 4.4 0.05 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected Optimistic Pessimistic 16,000 10,000 18,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. i Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected 16,000 17,000 10,000 12,000 18,000 24,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…The Silver Star Bicycle Company will be manufacturing both men's and women's models of its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown: Production Labor Requirements (hours) Current Model Costs Manufacturing Assembly Inventory Men's $120 2.0 1.5 20 Women's $90 1.6 1.0 30 Last month the company used a total of 1000 hours of labor. The company's labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the production cost based on the inventory levels at the end of…
- The Maytubig Water Company purifies drinking water in Luzon and Mindanao, which it plans to distribute to typhoon-hit areas in Tacloban, Ilo-ilo, Ormoc, Northern Cebu, and Eastern Samar. The Luzon filtering plant is expected to produce 85,000 liters and the Mindanao filtering plant is expected to produce 50,000 liters a week. These are estimated weekly water requirement according to DSWD: WHOLESALER LITERS OF PURIFIED WATER Tacloban Ilo-ilo Ormoc Northern Cebu Eastern Samar O None of the above Here is the cost of shipping 1,000 liters of purified drinking water from each filtering plant to each affected area: PLANT WHOLESALER COST Luzon Tacloban P 20 Luzon llo-ilo 30 Luzon Ormoc 50 Luzon Northern Cebu 60 Luzon Eastern Samar 35 Mindanao Tacloban 50 Mindanao Ilo-ilo 60 Mindanao Ormoc 20 Mindanao Northern Cebu 30 Mindanao Eastern Samar 70 The distribution cost for the optimal solution is: OP 3,250,000 OP 3,275,000 OP 3,325,000 45,000 25,000 40,000 OP 3,430,000 12,000 20,000Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Medium Low Own staff 600 550 350 Outside vendor 900 650 450 Combination 700 600 400 a. If the demand probabilities are 0.4, 0.25, and 0.35, which decision alternative will minimize the expected cost of the data processing operation? Own Staff What is the expected annual cost associated with that recommendation? If required, round your answer to the nearest thousand of dollars. Expected annual cost = $ ___________A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs. The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are: PLANT CAPACITY (PIECES PER WEEK) WAREHOUSE 1 2 3 400 800 600 A B C D DEMAND (PIECES PER WEEK) 900 200 400 300 The estimated ship cost per box for the various routes are: ΤΟ FROM A B C D 1 5 7 9 12 2 10 7 2 3 3 8 9 6 4 Row/Column Opportunity Cost Demand Row/Column Cell Total Cost Opportunity Cost Cost of the above Test of unallocated Cells allocation Supply Amount char
- a company's business model was to operate through its facilities- Vancouver, Calgary, Winnipeg, Toronto(ontario), ottawa, Montreal and Halifax. Supply comes from South America, southeast Asia, and Florida. the company was shipping first to Toronto and then to each facility at a total cost of $23095.5 per week. The company is considering the possibility of opening a logistics facility in Miami. Toronto and Vancouver were already available as transshipment centres. What would be the cost savings if Miami centre was opened and what would be the optimal shipment plan?The Acme Company operates four factories that ship products to five warehouses. The shipping costs, requirements capacities, and optimal allocations are shown in Figure. What is the total cost of the optimal solution?A 36,000 square foot office building in Emeryville, California that was 88% leased had a 2023 annual net operating income estimated to be $1,880,000 with gross leases for all its tenants and a three level subterranean parking garage with 180 parking spaces. The 2024 NOI could be increased by all the following, EXCEPT: Increasing the operating expenses by adding additional maintenance staff Increasing the parking income by charging tenants for their employee parking Increasing the occupancy rate of the building by signing leases with new tenants Increasing the rental rates in new leases that are signed for the building
- Ana Chavarria, front office manager at The Times Hotel, has completed a yield management seminar at Keystone University and is preparing an argument to adopt this concept at The Times Hotel to present to Margaret Chu, general manager. She begins by com- piling a history of room occupancy and ADRs, which she hopes will reveal areas in which yield management could help. She prepares an electronic spreadsheet that lists rooms sold with corresponding room rates and correlates the data to tourism activities in the area. Ana sends an analysis of revenue realized and revenue potential to Ms. Chu for review prior to their discussion. After reviewing the analysis, Ms. Chu concludes, “This is just another scam; the industry is slow to adopt this,” and disregards the entire report. She knows that occupancy percentage, ADR, and RevPAR are all that you need to be efficient today, so why change? Ana passes Ms. Chu in the lobby, and Ms. Chu indicates her distrust of the yield management concept but…like this fill the boxesA company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation cost