The owner of a trucking company wants to expand its business by purchasing new trucks. The owner considers two types of trucks: Peterbilt 579 or Kenworth T680. The owner has estimated that each Peterbilt 579 purchased will increase the daily profit by $1070 and each Kenworth T680 purchased by $1000. The number of truck the company can own is limited by the garage capacity of 7 trucks and company's budget of $1,000,000. The price of Peterbilt 579 is $166,950 and the price of Kenworth T680 is $156,000. a) Formulate this as a mixed-integer linear programming problem in terms of objective function and constraint(s) and solve using Branch-and-Bound method (branches can be solved using the Excel Solver). Graphically show branches and solutions. b) How many trucks should the company purchase from each brand and what is the objective function value? c) Compare original continuous solution (OCS) and decisions to integer solution and briefly explain your findings.