U(movies, popcorn) = 0.1 ln movies + 0.4 ln popcorn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose you enjoy movies and bags of popcorn, and your utility
function for these two goods is:
U(movies, popcorn) = 0.1 ln movies + 0.4 ln popcorn
a. Say you consume (watch) 2 movies. Graph your total utility
function for popcorn. Number of bags of popcorn consumed
must be on the horizontal axis, and total utility on the
vertical
axis.
[Tip:
Show
for
0 ≤ popcorn ≤ 5 and set PlotRange → {0, 0.8}.]
b. Measuring movies in the horizontal axis and popcorn in the
vertical axis, graph the indifference map given utility levels
of 0.95, 1. 15, and
[Tip: Show for
1.35.
0 ≤ movies ≤ 100 and set PlotRange → {0,20}.]
Transcribed Image Text:Suppose you enjoy movies and bags of popcorn, and your utility function for these two goods is: U(movies, popcorn) = 0.1 ln movies + 0.4 ln popcorn a. Say you consume (watch) 2 movies. Graph your total utility function for popcorn. Number of bags of popcorn consumed must be on the horizontal axis, and total utility on the vertical axis. [Tip: Show for 0 ≤ popcorn ≤ 5 and set PlotRange → {0, 0.8}.] b. Measuring movies in the horizontal axis and popcorn in the vertical axis, graph the indifference map given utility levels of 0.95, 1. 15, and [Tip: Show for 1.35. 0 ≤ movies ≤ 100 and set PlotRange → {0,20}.]
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