What is the impact of changing the yields in the flows on decisions and objective value?

5 Network Modeling s of network flow tance, it oil or gas ving at the intended aline. Similar loss of foods and other Iction processes that ems can be modeled the form of inter- following example of problems. came off the train in Atlanta. However, there are numerous examples of n problems in which a gain or loss occurs on flows across arcs. For instanc is shipped through a leaky pipeline, the amount of oil or gas arriving at destination will be less than the amount originally placed in the pipeline of-flow examples occur as a result of evaporation of liquids, spoilage of for perishable items, or imperfections in raw materials entering production result in a certain amount of scrap. Many financial cash flow problems can as network flow problems in which flow gains (or increases) occur in the fo est or dividends as money flows through various investments. The follow illustrates the modeling changes required to accon red to accommodate these types of problem Nancy Grant is the owner of Coal Bank Hollow Recycling, a con specializes in collecting and recycling paper products. Nancy's com two different recycling processes to convert newspaper, mixed paper, w paper, and cardboard into paper pulp. The amount of paper pulp extracted recyclable materials and the cost of extracting the pulp differs depending recycling process is used. The following table summarizes the recycling p ng, a company that cy's company uses aper, white office tracted from the depending on which es the recycling processes: Yield Material Newspaper Mixed Paper White Office Paper Cardboard Recycling Process 1 Cost per Ton Yield 90% 80% $9 95% $13 75% Recycling Process 2 Cost per Ton $12 85% $13 85% $10 $14 85% $13 $11 90% For instance, every ton of newspaper subjected to recycling process 1 costs S1 and yields 0.9 tons of paper pulp. The paper pulp produced by the two differen recycling processes goes through other operations to be transformed into pulp fo newsprint, packaging paper, or print stock quality paper. The yields associated wit transforming the recycled pulp into pulp for the final products are summarized i the following table: Packaging Paper Pulp Cost per Ton Yield $6 Print Stock Pulp Cost per Ton Yie 90 $ 7 95 $8 Newsprint Pulp Pulp Source Cost per Ton Yield Recycling Process 1 95% Recycling Process 2 $6 90% 90% 95% $5 $8 For instance, a ton of pulp exiting recycling process 2 can be transformed into 0. tons of packaging paper at a cost of $8. Nancy currently has 70 tons of newspaper, 50 tons of mixed paper, 30 tons white office paper, and 40 tons of cardboard. She has a contract to produce 60 to of newsprint pulp, 40 tons of packaging paper pulp, and 50 tons of print stock pu and wants to determine the most efficient way to meet this obligation. 16 shows how Nancy's recycling problem can be viewed as a gene le the possible flow of recycli m listed both the c 5 Network Modeling s of network flow tance, it oil or gas ving at the intended aline. Similar loss of foods and other Iction processes that ems can be modeled the form of inter- following example of problems. came off the train in Atlanta. However, there are numerous examples of n problems in which a gain or loss occurs on flows across arcs. For instanc is shipped through a leaky pipeline, the amount of oil or gas arriving at destination will be less than the amount originally placed in the pipeline of-flow examples occur as a result of evaporation of liquids, spoilage of for perishable items, or imperfections in raw materials entering production result in a certain amount of scrap. Many financial cash flow problems can as network flow problems in which flow gains (or increases) occur in the fo est or dividends as money flows through various investments. The follow illustrates the modeling changes required to accon red to accommodate these types of problem Nancy Grant is the owner of Coal Bank Hollow Recycling, a con specializes in collecting and recycling paper products. Nancy's com two different recycling processes to convert newspaper, mixed paper, w paper, and cardboard into paper pulp. The amount of paper pulp extracted recyclable materials and the cost of extracting the pulp differs depending recycling process is used. The following table summarizes the recycling p ng, a company that cy's company uses aper, white office tracted from the depending on which es the recycling processes: Yield Material Newspaper Mixed Paper White Office Paper Cardboard Recycling Process 1 Cost per Ton Yield 90% 80% $9 95% $13 75% Recycling Process 2 Cost per Ton $12 85% $13 85% $10 $14 85% $13 $11 90% For instance, every ton of newspaper subjected to recycling process 1 costs S1 and yields 0.9 tons of paper pulp. The paper pulp produced by the two differen recycling processes goes through other operations to be transformed into pulp fo newsprint, packaging paper, or print stock quality paper. The yields associated wit transforming the recycled pulp into pulp for the final products are summarized i the following table: Packaging Paper Pulp Cost per Ton Yield $6 Print Stock Pulp Cost per Ton Yie 90 $ 7 95 $8 Newsprint Pulp Pulp Source Cost per Ton Yield Recycling Process 1 95% Recycling Process 2 $6 90% 90% 95% $5 $8 For instance, a ton of pulp exiting recycling process 2 can be transformed into 0. tons of packaging paper at a cost of $8. Nancy currently has 70 tons of newspaper, 50 tons of mixed paper, 30 tons white office paper, and 40 tons of cardboard. She has a contract to produce 60 to of newsprint pulp, 40 tons of packaging paper pulp, and 50 tons of print stock pu and wants to determine the most efficient way to meet this obligation. 16 shows how Nancy's recycling problem can be viewed as a gene le the possible flow of recycli m listed both the c