Suppose Paul, a 3rd grader, has the following utility function over his lunch of Twinkles (t) and soda (s), utility = U(t, s) = √ts (a) If Twinkles cost $0.10 each and soda costs $0.25 per can, how must Paul spend the $1.00 from his parents in order to maximize his utility? (b) Now suppose the school tries to discourage Twinkle consumption by increasing the price to $0.40, by how much will Paul's parents have to increase his lunch allowance in order for him to preserve his utility level in (a)? [i.e., compensating variation]
Suppose Paul, a 3rd grader, has the following utility function over his lunch of Twinkles (t) and soda (s), utility = U(t, s) = √ts (a) If Twinkles cost $0.10 each and soda costs $0.25 per can, how must Paul spend the $1.00 from his parents in order to maximize his utility? (b) Now suppose the school tries to discourage Twinkle consumption by increasing the price to $0.40, by how much will Paul's parents have to increase his lunch allowance in order for him to preserve his utility level in (a)? [i.e., compensating variation]
Chapter1: Making Economics Decisions
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![3. Suppose Paul, a 3rd grader, has the following utility function over his lunch of Twinkles
(t) and soda (s),
utility = U(t, s)
=
√ts
(a) If Twinkles cost $0.10 each and soda costs $0.25 per can, how must Paul spend
the $1.00 from his parents in order to maximize his utility?
(b) Now suppose the school tries to discourage Twinkle consumption by increasing
the price to $0.40, by how much will Paul's parents have to increase his lunch
allowance in order for him to preserve his utility level in (a)? [i.e., compensating
variation]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aab5738-0db4-4f34-aec5-e37dc2468f82%2F1058ad66-b184-4658-be56-004266041fe2%2Fse7z11_processed.png&w=3840&q=75)
Transcribed Image Text:3. Suppose Paul, a 3rd grader, has the following utility function over his lunch of Twinkles
(t) and soda (s),
utility = U(t, s)
=
√ts
(a) If Twinkles cost $0.10 each and soda costs $0.25 per can, how must Paul spend
the $1.00 from his parents in order to maximize his utility?
(b) Now suppose the school tries to discourage Twinkle consumption by increasing
the price to $0.40, by how much will Paul's parents have to increase his lunch
allowance in order for him to preserve his utility level in (a)? [i.e., compensating
variation]
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