Overview:Recall from Module Four that linear programming requires the simplex method for problems with more than two alternatives. Transportation and assignment problems are special cases that have their own, less complex algorithms than the simplex. This module will cover several algorithms.As a generic linear programming problem, there is an allocation of resources between alternatives. The problem here concerns shipping of materials from senders and receivers, with known mileage and costs. The goal is to assign destinations and quantities between senders and receivers. This is the transportation problem. The assignment problem dedicates a worker to project.Read:Render, B., Stair, Jr., R. M., Hanna, M. E., & Hale, T. S. (2018). Quantitative analysis for management (13th ed.). Pearson. ISBN: 9780134543451. Read Chapter 9.Assignment:1. Explain what it means for an assignment model to be balanced.2. Explain the purpose of the transshipment constraints in the linear program for a transshipment model.3. Describe a problem that can be solved by using the shortest-route model.4. The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back the production capacities at its other two factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse.Find the least-cost way to meet the requirements given the capacity at each factory:To FromAlbuquerqueBostonClevelandCapacityDES MOINES$5$4$3300EVANSVILLE$8$4$3150FORT LAUDERDALE$9$7$5250REQUIREMENTS200200300 5. In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to assign jobs so that total time is minimized. Find the best solution. Which assignments should be made? MachineJobWXYZA1210141613A1512131512B29121211B914161816
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