Question: IE 202 Assignment Problem Exercises 1. (5.4A 2) JoShop needs to assign 4 jobs to 4 workers. The cost of performing a job is a

IE 202 Assignment Problem Exercises 1. (5.4A 2)

IE 202 Assignment Problem Exercises 1. (5.4A 2) JoShop needs to assign 4 jobs to 4 workers. The cost of performing a job is a function of the skills of the workers. Table 1 below summarizes the cost of the assignments. Worker 1 cannot do job 3 and worker 3 cannot do job 4. Determine the optimal assignment using the Hungarian method. Table 1: Job 1 2 3 1 $50 $50 $20 Worker 2 $70 $40 $20 $30 3 $90 $30 $50 4 $70 $20 $60 $70 4 2. (5.4A 3) In the JoShop Problem, suppose that an additional (fifth) worker becomes available for performing the four jobs at the respective costs of $60, $45, $30, and $80. Is it economical to replace one of the current workers with the new one? 3. (5.4A 5) A business executive must make the four round trips listed in Table 2 between the head office in Dallas and a branch office in Atlanta. The price of a round-trip ticket from Dallas is $400. A discount of 25% is granted if the dates of arrival and departure of a ticket span a weekend (Saturday and Sunday). If the stay in Atlanta lasts more than 21 days, the discount is increased to 30%. A one-way ticket between Dallas and Atlanta (either direction) costs $250. How should the executive purchase the tickets? Table 2: Departure date from Dallas Return date to Dallas Monday, June 3 Friday, June 7 Monday, June 10 Wednesday, June 12 Monday, June 17 Friday, June 21 Tuesday, June 25 Friday, June 28

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