Concept explainers
a)
Interpretation: convert the given problem into balanced problem by adding an appropriate row and column and find the optimal solution using solver.
Concept Introduction: one of the feasible solution is that the objective function ranges from maximum to minimum value depends upon the profit or loss of the cost problem is called optimal solution.. This kind of solution required by a company to solve the problem or to achieve the goal. This solutions that could maximize or minimize the profit or reduce the costs.
b)
Interpretation: Find the optimal solution using solver and inequality constraints.
Concept Introduction: For all kinds of optimization problem, there could be one or more than one optimal solutions and sometimes there is infinite number of optimal solutions are occurred. Optimal solution is the one type of feasible solution, which has the objective function reaches their goal.
c)
Interpretation: Compare the solutions in part a and part b and clarify the reason.
Concept Introduction: For all kinds of optimization problem, there could be one or more than one optimal solutions and sometimes there is infinite number of optimal solutions are occurred. Optimal solution is the one type of feasible solution, which has the objective function reaches their goal.
d)
Interpretation: Modify the model in Part b also resolve to find the optimal solution and clarify the objective value increased or decreased.
Concept Introduction: For all kinds of optimization problem, there could be one or more than one optimal solutions and sometimes there is infinite number of optimal solutions are occurred. Optimal solution is the one type of feasible solution, which has the objective function reaches their goal.
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Production and Operations Analysis, Seventh Edition
- The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost. Factory Shipping Cost per Case to each Warehouse Capacity W1 W2 W3 W4 W5 Dummy F1 $4 $5 $4 $3 $6 $0 50,000 F2 $3 $4 $4 $5 $7 $0 80,000 F3 $3 $4 $5 $3 $5 $0 90,000 F4 $4 $6 $5 $6 $3 $0 40,000…arrow_forwardASAP PLEASE.. The distribution of goods from the source (factory) to the target (warehouse) will cause problems regarding TRANSPORT, namely how the goods are sent from the factory to the warehouse which produces minimum costs. If it is known that - the capacity of 3 factories is 40000, 30000 and 20000, - the need for 3 warehouses is 20000, 50000 and 30000 respectively. The cost of shipping goods from the factory to the warehouse is shown in the following table Solve the above TRANSPORTATION problems with VAM and MODIarrow_forwardTommy Hilfiger is currently considering to source certain textile goods, Tommy Jeans, from Mexico. The estimated shipping time from Mexico to the U.S. for each shipment of Tommy Jeans is 4 days and the estimated freight cost of each shipment is $800. On the other hand, the current average shipping time from Vietnam to the U.S. for each shipment of Tommy Jeans is 23 days and the average freight cost is $2300. Even though the shipping time and freight cost seem to be much lower in case of Mexico, Tommy Hilfiger management is concerned about the production cost of each Jeans shipment. The management anticipates that the production cost of each Jeans shipment will be higher in Mexico compared to Vietnam. However, Tommy Hilfiger management has decided that even if the total cost (sum of production cost, freight cost, and holding cost) remain similar to Vietnam, Tommy Hilfiger will still source Jeans from Mexico because of the reduced shipping time, which, in turn, will result in better…arrow_forward
- World Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in Hamburg, Marseilles, and Liverpool. Ships from these ports deliver the products to Norfolk, New York, and Savannah, where they are stored in company warehouses before being shipped to distribution centers in Dallas, St. Louis, and Chicago. The products are then distributed to specialty food stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the U.S. cities and the available supplies (1,000 lb.) at the European ports are provided in the following table: U.S. City European Port 4. Norfolk 5. New York 6. Savannah Supply 1. Hamburg $420 $390 $610 55 2. Marseilles 510 590 470 78 3. Liverpool 450 360 480 37 The transportation costs ($/1,000 lb.) from each U.S. city of the three distribution centers and the demands (1,000 lb.) at the distribution…arrow_forwardA sports apparel company has received an order for a college basketball team’snational championship T-shirt. The company can purchase the T-shirts from textile factoriesin Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies inthe United States that silk-screen the shirts before they are shipped to distribution centers.Following are the production and transportation costs ($/shirt) from the T-shirt factories tothe silk-screen companies to the distribution centers, plus the supply of T-shirts at thefactories and demand for the shirts at the distribution centers (a) Formulate this problem in Excel and (b) determine the optimal shipments to minimize totalproduction and shipping costs for the apparel company.arrow_forwardA sports apparel company has received an order for a college basketball team’snational championship T-shirt. The company can purchase the T-shirts from textile factoriesin Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies inthe United States that silk-screen the shirts before they are shipped to distribution centers.Following are the production and transportation costs ($/shirt) from the T-shirt factories tothe silk-screen companies to the distribution centers, plus the supply of T-shirts at thefactories and demand for the shirts at the distribution centers: Silk-Screen CompanyT-shirt factory T-shirt factory 4. Miami 5. Atlanta 6. Houston Supply(1,000 lbs.)1. Mexico $4 $6 $3 182. Puerto Rico $3 $5 $5 153. Haiti…arrow_forward
- PLEASE SHOW ALL FORMULA PharmaCo wants to determine how to deploy sales representatives across its Western U.S. region to support a new drug for obesity. Sales representatives will be located in a "home city", which they serve, in addition to cities with feasible commuting distance, with the objective that all cities must be served by at least one sales representative. The feasible connections between each city in the region are listed below (1 indicates a feasible connection, potential home cities are shown in columns, and cities served in rows): Potential Rep Home City Served? Albuquerque El Paso Denver Phoenix San Diego Los Angeles San Francisco Portland Seattle Las Vegas Salt Lake City Albuquerque 1 1 1 1 0 0 0 0 0 0 0 El Paso 1 1 0 1 0 0 0 0 0 0 0 Denver 1 0 1 1 0 0 0 0 0 0 1 Phoenix 1 1 1 1 1 1 0 0 0 1 1 San Diego 0 0 0 1 1 1…arrow_forwardExpedition companies headquartered in Bintaro want to developed its business in Medan, Balikpapan and Menado and will place 3 branch heads (Aria, Yuda and Roni) from several branch offices owned by the company in Central Java to set-up offices and run operations in 3 locations. Below is the cost to allocate the 3 branch heads to each location: branch head/ branch office Medan(3 Rp. 10.000) Balikpapan(3 Rp. 10.000) Manado (3 Rp. 10.000) ARIA 800 1100 1200 YUDA 500 1300 1300 RONI 500 1000 2300 a. Create a table using the assignment method.b. Based on the results of your calculations, what advice can you give to the most optimum company leaders of location placement of each branch head above? Explain why?c. What is the total optimum cost that must be incurred by the company to allocate to all branch offices of the company?arrow_forwardSuisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Determine the optimal shipments from fishers to plants and from plants to restaurants to minimize total transportation costs. Include the formulation and solver outputs. What would be the effect on the solutions if the capacity at each plant were 70 fishes?arrow_forward
- TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $5 $3 Location II $6 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) =…arrow_forwardA garment producer has three warehouses W1, W2, and W3. These warehouses have 30, 60, and 70 units of their items. Their five retail showrooms at R1, R2, R3, R4, and R5 need 35, 20, 40, 28, and 12 units respectively. Determine the optimum distribution cost. The transport cost in ($ per unit) between every warehouse and every retail showroom is presented in the below table: Warehouse Retail Showroom R1 R2 R3 R4 R5 W1 55 30 40 50 40 W2 35 30 100 45 60 W3 40 60 95 35 30arrow_forwardKCS Ltd has got three production lines with the same production costs namely; K, L, and S whose production capacities are 140, 160, and 200 units respectively. These are marketed through four destinations B, C, J, and M having demands of 110, 150, 140, and 100 units respectively. The transportation cost between the production lines and market destinations are; K to B, K to C, K to J, K to M, L to B, L to C, L to J, L to M, S to B, S to C, S to J, and S to M as 18, 11, 13, 29, 19, 25, 15, 28, 24, 27, 19, and 12 respectively all costs are US dollars. a).Create a working table taking lines as rows and destinations as columns b). Determine the Cheapest route and Most expensive route to use c).Use the Northwest Corner Method to distribute the products d).Vogel’s Approximation Technique e).Compute their respective total costs incurredarrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,