Mary has a utility function U (B,Z) =
AB
Z
, where A,
,
are constants, B is the quantity
of burritos she buys at price pb, and Z is the quantity of pizzas she buys at price pZ and
assuming that her income is represented by Y.
(i) Set the equation representing her budget constraint (2 marks)
(ii) Calculate the optimal quantity of burritos and pizza she will consume? (Hint: use the
Lagrangian method.). (13 marks)
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