A consumer's utility function is u(x1, x2) = 5x1 + 2x2, where xi is the quantity of good i = 1, 2. Her income is $100. The supplier of good 1 cannot provide good 1 at a constant price. Precisely, if the consumer consumes x1 units of good 1, each unit costs p1(x1) = 5 ln(x1) dollars. The price of good 2 is $4 (a unit). What is her optimal consumption bundle?