Solve the following modeling problems. For each of the four problems, your answer should include: (a) definition of decision variables, (b) complete model formulation, (c) screenshots of computer programming codes and outputs (your choice of Gusek, Matlab, or Octave), and (d) interpretation of the optimal solution in plain language (e.g., how would you explain your optimal solution to Farmer McDonald, who may not understand the LP model or the Gusek/Matlab/Octave output?) 1. (20 points) Solve Challenge 1 from the \"Modeling\" Lecture. @ The following are actual trades made on February 14 of 2002 with minor modification. from \\ to | Dollar Euro Pound Yen Dollar 1 1.1468 0.7003 133.30 Euro 0.8716 1 0.6097 116.12 Pound | 1.4279 1.6401 1 190.45 Yen 0.00750 0.00861 0.00525 1 @ Assume you start with one dollar, find a series of exchanges that will lead to more than one dollar