Felix has 224.1 dollars to spend on two goods, good 1 and good 2. Let x₁ and x₂ denote respectively the quantity of good 1 and the quantity of good 2. The price of good 1 is 5.1 and the price of good 2 is 8.2. Suppose that the government subsidizes all consumers of good 1 by 2.2 dollars per unit on every unit of good 1 but only if the amount of good 1 purchased exceeds 10.2 units.If Tan buys x₁ = 7 units of good 1,what is the maximum amount of good 2 she can buy?