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# Answer to Question #52346 in Microeconomics for lawrence

Question #52346
Diogo has a utility function , where A, α and β are constants, B is burritos, and Z is pizzas. If the price of burritos, Pb, is N$2 and the price of pizzas, Pz is N$1, and Y is N$100, what is Diogo’s optimal bundle? Expert's answer If Diogo has a utility function U(B, Z) &nbsp;= AB^&alpha;Z^&beta; and if the price of burritos, Pb, is N$2 and the price of pizzas, Pz is N$1, and Y is N$100, using the Lagrangian method we can find the optimal bundle:
Qb = &nbsp;&beta;/(&alpha; + &beta;)*100/2 = 50&beta;/(&alpha; + &beta;)
Qz = 100&beta;/(&alpha; + &beta;)

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