Alaskan Railroad is an independent, stand-alone railroad opertaon not connected to any other railservice in North America. As a result, rail shipments between Alaska and the rest of North America mustbe shipped by truck for thousands of miles or loaded onto ocean-going vessels and transported by sea.Alaskan Railroad recently began talks with the naon of Canada about expanding its railroad lines toconnect with the North American railway system. Figure 1 summarizes the various rail segments(associated costs in millions of U.S. dollars) that could be built. The North American railroad systemcurrently provides service to New Hazelton and Chetwynd. Alaskan Railroad would like to expand itsrailway so as to be able to reach one of these cites from Skagway and Fairbanks.Part 1. Implement a network flow model to determine the least expensive way to connect the city ofFairbanks to either New Hazelton or Chetwynd. You should include Skagway and its connections in thenetwork model for Part 1, even…

Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month. Sinclair sells its polyethylene to three different auto manufacturing plants, Grand Rapids (demand = 3000 tons per month), Blue Ridge (demand = 5000 tons per month), and Sunset (demand = 4000 tons per month). The costs of shipping between the respective plants is shown in the table below:   Grand Rapids Blue Ridge Sunset Ohio Valley 50 40 100 Lakeview 60 50 75 Implement the LP model in Solver and obtain the optimal shipping plan. What is the optimized cost?

Creative Robotics (CR) manufactures two lightweight robots designed for easier house-cleaning. The Alpha-ONE model is older, heavier, and is designed for carpet cleaning. The Alpha-TWO model is newer, lighter, and is designed primarily for wooden floor cleaning. The management team is trying to identify how to minimize the total costs of producing these two models. Their full-time workers consist of primarily manufacturing experts and about 3 people are required to commit themselves to manufacture the Alpha-ONE model and 4 for the Alpha-TWO model, per day. They have a total pool of 100 full-time workers now but are willing to hire more manufacturers if required. Similarly, the Alpha-TWO model is more complex and management has a pool of 20 part-time technical workers to help with the complexity, every day. Again, they are willing to hire more part-time workers if required to assist with the Alpha-TWO model. As far as staff allocations for additional assistance in manufacturing…