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Question 6 A person's utility function is u(x1, x2) = x1x2. The person has an income of / = 140. The prices of the two goods are initially p1 = p2 = 1. Then the price of good 2 increases to p2 = 1.6. In addition to the budget constraint, the con- sumer faces a "survival constraint," i.e., the consumer needs consumption bundles (x1, x2) that satisfy x1 + 10x2 2 770 to be able to survive. Determine the optimal consumption before and after the price change, by using the Lagrangean. Note: You can assume that the constraints x1 2 0 and x2 2 0 are slack at the optimum