Formulate but do not solve the following exercise as a linear programming problem. a hunger-relief organization has earmarked between $2 million and $2.5 million (inclusive) for aid to two african countries, country a and country b. country a is to receive between $1 million and $1.5 million (inclusive), and country b is to receive at least $0.75 million. it has been estimated that each dollar spent in country a will yield an effective return of $0.80, 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: if x 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.