1. At the end of one year of work, your company has a cash surplus of $ 2.5 billion. The fiduciary section of your bank proposes for the next semester five types of investment for that cash, which would rent as follows: a .. Personal loans without collateral, yield 14% per semester b Loans for the purchase of automobiles, With guarantee pledge and insurance on the vehicle, they yield 11% c. . Home improvement loans with a mortgage guarantee on the property, 10% d. ..Loans for the acquisition of other assets, with a pledge guarantee and insurance, 12% e. Investment in government bonds, 8% There are some banking regulations that must be met in fiduciary investments and that can be summarized as follows: a. You cannot invest more than 10% of the total in loans with a personal guarantee. B. Home improvement loans cannot exceed 50% of all GUARANTEED loans. C. Unsecured personal loans cannot exceed the amount invested in Government Bonds. D. You cannot invest more than 40% of all your capital in Government Bonds. How much do you invest in each type of investment? Note: You do not necessarily HAVE to invest all of the $ 2.5 billion. I develop the linear P. model for this scenario