Problem 6. (Currency Conversion) Current cash reserves and their desired position in six different currencies (in millions) are as follows. Initial Position Desired Position U.S.$ Uen duro Can.$ G.B.E Aust.$ Swiss Franc We want to convert the initial position amounts so that we have reserves at least equal to the amounts in the desired position. The conversion rates are presented in the second table. U.S.$ Uen g uro Can.$ G.B. Aust.$ Swiss Franc U.S.$ 76.925 0.7091 0.9902 0.6211 0.9489 0.7827 Ven 0.013 1 0.0092 0.0129 0.0081 0.0133 0.0102 Quro 1.4102 108.4797 1 1.3963 0.8759 1.3381 1.1038 Can.$ 1.0099 77.6903 0.7162 1 0.6273 0.9583 0.7905 G.B. 1.61 123.8485 1.1417 1.5941 1 1.5277 1.2602 Aust.$ 1.0538 81.0784 0.7473 1.0435 0.6546 1 0.8249 Swiss Franc 1.2776 98.2759 0.9059 1.265 0.7935 1.2123 The numbers in this table should be understood this way: buying 1 U.S. dollar for Japanese Yen requires 76.925 U, 1 U.S. dollar costs 0.70910, etc. In order to buy 1 Japanese Yen for U.S. dollars we need to pay $0.013, etc. Find the optimal conversion plan to satisfiy the goals and to maximize the value of U.S $ of the new position.tivate Go to PC set