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 six hours of phone banking and two hours 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:

U^s (B,S) = 5.4B²C

Assume B and C are easily divisible into a fraction.

(a) Using monotonic transformations, rewrite Sonia's utility function in the Cobb-Douglas form. Write the utility as a function of the form U=B^αC^1-α , where the exponents sum to 1.

Answer 1

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