Amy and Barbara share an office. They put a scent diffuser in the middle of the room, and they need to buy essence oil (G) to make the office smell good. They each can also buy cookies (x) as their own snacks. Each of them has $15 to spend on essence oil and cookies. Amy and Barbara's utility functions are UA (TA, GA, GB) = x²(GA+GB)² and uB (TB, GA, GB) = x3 (GA+GB)³, where A and B are Amy's and Barbara's individual cookie consumption, and GA and GB are respectively Amy's and Barbara's contributions in dollars for the purchase of the essence oil. Let the price of cookies be p = 1 and the price of essence oil be pg = 1. Thus, given GA and GB, G = GA + Gg is the total amount the essence oil that will be purchased, what is the Pareto optimal amount of the total contribution of G? a. 15 C b. 10 c. They will be no difference between the individual decision and the Pareto optimal decision. d. 5

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Amy and Barbara share an office. They put a scent diffuser in the middle of the room, and they need to buy essence oil (G) to make the office smell
good. They each can also buy cookies (x) as their own snacks. Each of them has $15 to spend on essence oil and cookies. Amy and Barbara's utility
functions are
UA (TA, GA, GB) = x²(G₁+G³)² and uB (TB, GA, GB) = x³ (GA+GB)³,
where A and B are Amy's and Barbara's individual cookie consumption, and GA and GB are respectively Amy's and Barbara's contributions in
dollars for the purchase of the essence oil. Let the price of cookies be p = 1 and the price of essence oil be pg = 1. Thus, given G₁ and GB,
G = GA + GB is the total amount the essence oil that will be purchased, what is the Pareto optimal amount of the total contribution of G ?
C
a. 15
C
b. 10
c. They will be no difference between the individual decision and the Pareto optimal decision.
d. 5
Transcribed Image Text:Amy and Barbara share an office. They put a scent diffuser in the middle of the room, and they need to buy essence oil (G) to make the office smell good. They each can also buy cookies (x) as their own snacks. Each of them has $15 to spend on essence oil and cookies. Amy and Barbara's utility functions are UA (TA, GA, GB) = x²(G₁+G³)² and uB (TB, GA, GB) = x³ (GA+GB)³, where A and B are Amy's and Barbara's individual cookie consumption, and GA and GB are respectively Amy's and Barbara's contributions in dollars for the purchase of the essence oil. Let the price of cookies be p = 1 and the price of essence oil be pg = 1. Thus, given G₁ and GB, G = GA + GB is the total amount the essence oil that will be purchased, what is the Pareto optimal amount of the total contribution of G ? C a. 15 C b. 10 c. They will be no difference between the individual decision and the Pareto optimal decision. d. 5
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