Answers all the following: Q1: An airline offers first class and coach tickets. For the airline to be profitable, it must sell a minimum of 25 first class tickets and a minimum of 40 coach tickets. The company makes a profit of 200 USD for each first class ticket and 225 USD for each coach ticket. At most, the plane has a capacity of 150 travelers. How many of each ticket should be sold in order to maximize profits? a) Formulate the following problem. b) Solve it using both graphical solution and simplex model. c) Compare your answers for both a) and b)