Please write down the answer and draw the graph clearly.
Jennifer’s income is $120. her utility from fish and cabbage is U =
.2F2C2 If the price of fish is $3 and the
price of cabbage is $6,
- What is the optimal bundle of fish and cabbage to
consume? At this optimal bundle, what is Jennifer’s
utility?
- Suppose the price of fish jumps to $6. What income would be
required to purchase the bundle that you computed in (a)?
- Draw a diagram represents the optimal bundles in (a) and the
change in the budget line as price of fish and income increase as
described in (b).
- Does Jennifer maximize her utility if she consumes the
combination of bundle in (a) when the price of fish increases to $6
and she also receives the raise based on your calculation in
(b)?
- Use the same graph as in (c) to determine the substitution and
income effects when the price of fish jumps from $3 to $6 and the
income rises based on your calculation in (b).
- Calculate Jennifer’s combination of F and C at the substitution
effect point. [Hint: What would be Jennifer’s optimal bundle if she
is to keep the same utility, give the conditions (Price of fish
increases to $6 and her income also increases as your calculation
in (b)?]
- Given your answer in (a), suppose that instead of having an
income of $120, Jennifer had an income of $50 and had fish stamps
that were worth $130. How would the budget constraint change? How
would Jennifer’s optimal bundle change? Graph and explain your
result.