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Question: Consider the following two period example with the demand curve of P = 8 âˆ' 0.3q andMC = 2 consistent across time periods.
a) What is the optimal level of consumption in each period if q1 + q2 = 40 and the discount rate is 5%?
b) What is the optimal level of consumption in each period if q1 + q2 = 30 and the discount rate is 5%?
c) What is the optimal level of consumption in each period if q1 + q2 = 30 and the discount rate was 10%?
d) What does the comparison between the optimal allocation in b) and the optimal alloca- tion in c) say about the importance of the choice of discount rate?
What is her total utility from each of these options? Which option is optimal? Does this surprise you - What will happen to his optimal consumption bundle?
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