COULD YOU please formulate the following question ( linear programming assignment model ) ? :A business executive must make the four round - trips listed in Table 5.41 between the head office in Dallas and a branch office in Atlanta. The price of a round - trip ticket from Dallas is $ 400. A 25 % discount 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 5.41 Data for Problem 5 - 36 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

PLEASE Write a linear programming formula for the assignment problem. Objective function, constraints, decision variables, etc. Do not use the Hungarian method or other heuristic methods.