Jane receives utility from days spent traveling on vacation domestically \((D)\)
and days spent traveling on vacation in a foreign country ( \(F\) ), as given by
the utility function \(U(D, F)=10 D F .\) In addition, the price of a day spent
traveling domestically is \(\$ 100,\) the price of a day spent traveling in a
foreign country is \(\$ 400,\) and Jane's annual travel budget is \(\$ 4000\).
a. Illustrate the indifference curve associated with a utility of 800 and the
indifference curve associated with a utility of 1200
b. Graph Jane's budget line on the same graph.
c. Can Jane afford any of the bundles that give her a utility of \(800 ?\) What
about a utility of \(1200 ?\)
d. Find Jane's utility-maximizing choice of days spent traveling domestically
and days spent in a foreign country.