Question 1: a: 10 points Three provinces congregated together and established an authority responsible of injecting money into the financial system. The financial experts determined that ideally $6 billion dollars have to be in circulation in each federated province. Each month, 1/3 of all the money at province 1 leaves circulation, 1/3 stays at province 1 , and t/3 gets to province 3. Each month, 1/3 of the money stays at province 2, 1/3 of the money goes to province 1 and the remaining money ends-up in province 3. Each month. 1/3 of the money stays at province 3 and the remaining money goes to province 2. The financial authority introduces money into the system at province 1. (a) Applying the concept of steady-state census, is there a way to have a steadystate level of $6 billion in circulation at each province? [Hint: First, solve for Nit then find H1 ]