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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- This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?#4) Debbie Gibson is considering three investment options for a small inheritance that she has just received-stocks, bonds, and money market. The return on her investment will depend on the performance of the economy, which can be strong, average, or weak. If the market is strong her returns are 9% for stocks, 6% for bonds and 4% for money market. If the market is average her returns are 5% for stocks, 4% for bonds and 6% for money market. If the market is weak her returns are -7% for stocks, 2% for bonds and 1% for money market. (Round values to the nearest hundredths of a percent). a) Create a decision table and a decision tree. b) Which investment should Debbie choose if she uses the maximax criterion? What are the returns? c) Which investment should Debbie choose if she uses the maximin criterion? What are the returns? d) Which investment should Debbie choose if she uses the equally likely criterion? What are the returns? e) Which investment should Debbie choose if she uses the…
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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 the objective function and the constraints.Debbie Gibson is considering three investment options for a small inheritance that she has just received-stocks, bonds, and money market. The return on her investment will depend on the performance of the economy, which can be strong, average, or weak. If the market is strong her returns are 9% for stocks, 6% for bonds and 4% for money market. If the market is average her returns are 5% for stocks, 4% for bonds and 6% for money market. If the market is weak her returns are -7% for stocks, 2% for bonds and 1% for money market. (Round values to the nearest hundredths of a percent). a) Create a decision table and a decision tree. b) Which investment should Debbie choose if she uses the maximax criterion? What are the returns? c) Which investment should Debbie choose if she uses the maximin criterion? What are the returns? d) Which investment should Debbie choose if she uses the equally likely criterion? What are the returns? e) Which investment should Debbie choose if she uses the…Please use excel for this problem A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines. The time required to produce the tables on each machine is given in the following table: Machine Country Contemporary Total Machine Time Available Per Week Router 3.5 4.0 1,000 Sander 4.5 6.5 2,000 Polisher 3.0 2.0 1,500 Country tables sell for $395 and contemporary tables sell for $515. Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary. How many of each type of table should the company manufacture if it wants to maximize its revenue? Formulate an LP model for this problem Create the spreadsheet model and use Solver to solve the problem.
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