Consider the following twoperson (1 and 2) two good (X and Y) economy. The utility of person i is given by i i where xi and yi denote respectively person i's the consumption amount of good X and good Y, i=1, 2. The value of parameter bi is b1 = 5 for person 1 and b2 : 1 for person 2. Person 1's income is M = 1050 and person 2's income is M2 = 1810 dollars. The price of good X and price of good Y are given respectively by pX =10 and py = 10. Suppose the government takes T dollars from the person with the greater income (and if their incomes are equal, takes it from person 2) and gives it to the other person. Derive the equation of the utility possibilities frontier (UPF) associated with this "redistribution scheme" (if you haven't already). Then enter the value of the slope of the UPF, dU2/dU1 below