How should the executive purchase the tickets?Set up this problem as an assignment problem and formulate this problem as LP model.

A business executive must make the four round trips between the head office in Dallas and a branch office in Atlanta.Departure date from DallasReturn date to DallasMonday, July 6Friday, July 10Monday, July 13Wednesday, July 15Monday, July 20Friday, July 24Tuesday, July 28Friday, July 31The price for a round 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?Set up this problem as an assignment problem and formulate this problem as LP model.Describe the plan for the trips.Hint:Use the code (city, date) to define the rows and columns of the assignment problem. For example: the assignment (D, 6) (A, 10) means leaving Dallas on July 6 and returning from Atlanta July 10 at a cost of \$400. Please complete the following table then solve this problem as an assignment problem.(A,10)(A,31)(D, 6)\$400300300400300300300(D, 28)A business executive must make the four round trips between the head office in Dallas and a branch office in Atlanta.Departure date from DallasReturn date to DallasMonday, July 6Friday, July 10Monday, July 13Wednesday, July 15Monday, July 20Friday, July 24Tuesday, July 28Friday, July 31The price for a round 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?Set up this problem as an assignment problem and formulate this problem as LP model.Describe the plan for the trips.Hint:Use the code (city, date) to define the rows and columns of the assignment problem. For example: the assignment (D, 6) (A, 10) means leaving Dallas on July 6 and returning from Atlanta July 10 at a cost of \$400. Please complete the following table then solve this problem as an assignment problem.(A,10)(A,31)(D, 6)\$400300300400300300300(D, 28)

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