A consumer’s utility function is u(x1, x2) = 5×1 + 2×2, 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) = 5ln(x1) dollars. The price of good 2 is $4 (a unit). What is her optimal consumption bundle?
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