Tan has 208 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 3.1 and the price of good 2 is 5.1. 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 11.8 units. If Tan buys x₁ = 6.3 units of good 1, what is the
maximum amount of good 2 she can buy?
