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Question: Sonia is running for office and must allocate her volunteers' time between time phone banking (B) and canvasing (C). She currently has volunteers signed up for seven hours of phone banking and one hour of canvasing every day, and the volunteers are not willing to switch tasks from what they signed up for. Sonia's preferences over the two activities are given by the following:
Us( B,C) = 5.4 x B x C
Assume B and C are easily divisible into fractions (don't worry if your answers aren't always integers).
(b) Draw the budget set given that volunteers are only willing to perform the task they signed up for. (Remember free disposal.) Make this graph large, since we will use it again later. Clearly label the axes.
(c) What will be the quantity used of B and C? Identify it on the graph. (Hint: These preferences satisfy the principle of monotonicity.)
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