Formulate but do not solve the following exercise as a linear programming problem. A hunger-relief organization has earmarked between $2 million and $3 million (inclusive) for aid to two African countries, Country A and Country B. Country/l is to receive between $1 million and $1.25 million (inclusive), and Country B is to receive at least $015 million. It has been estimated that each dollar spent in CountryA will yield an effective return of $080, whereas a dollar spent in Country B will yield an effective return of $0.90. How should the aid be allocated if the money, in millions, is to be utilized most effectively according to these criteria? Hint: Ifx and y denote the amount of money, in millions of dollars, to be given to Country A and Country B, respectively, then the objective function to be maximized is P = 0.8x + 0.9y. max amount both countries receive collectively x + y 5 min amount both countries receive collectively x + y 2 max amount Country A receives x 5 min amount Country A receives x 2 min amount Country B receives y 2