With a high stress job that oversees the public health of a nation, Tony loves to eat pomegranate (qm) and spinach (qs), both rich in anti-oxidants, to keep him healthy. Suppose his preferences for the two goods can be captured by the utility function U(qm, qs) = (qm)^1/3(qs)^2/3 3 . Explain whether each of the following statements is true or false. (a) Tony weakly prefers (27, 1) to (3, 3). (b) Tony likes (27, 1) at least as much as (3, 3). (c) Tony strictly prefers (27, 1) to (3, 3).

Question

With a high stress job that oversees the public health of a nation, Tony loves to eat
pomegranate (qm) and spinach (qs), both rich in anti-oxidants, to keep him healthy.
Suppose his preferences for the two goods can be captured by the utility function
U(qm, qs) = (qm)^1/3(qs)^2/3
3 . Explain whether each of the following statements is true or
false.
(a) Tony weakly prefers (27, 1) to (3, 3).
(b) Tony likes (27, 1) at least as much as (3, 3).
(c) Tony strictly prefers (27, 1) to (3, 3).
(d) Tony is indifferent between (27, 1) and (3, 3).
(e) Tony weakly prefers (9, 1) to (3, 3).
(f) Tony weakly prefers (3, 3) to (9, 1).

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