Alice has the utility function uA = xA1 + 2xA2 and Bob’s utility function is uB = {2xB1, xB2} Assume that there is a total of 5 units of good 1 and 10 units of good 2 Prove that the allocation in which Alice gets all of both goods is or isn’t pareto efficient Prove that the allocation in which Bob gets all of both goods is or isn’t pareto efficent

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Alice has the utility function u_A = x^A₁ + 2x^A₂ and Bob’s utility function is u_B = {2x^B₁, x^B₂}

Assume that there is a total of 5 units of good 1 and 10 units of good 2

1. Prove that the allocation in which Alice gets all of both goods is or isn’t pareto efficient
2. Prove that the allocation in which Bob gets all of both goods is or isn’t pareto efficent