Trey works as a waiter for Puff & Stuff catering for a wage of w = 11. In addition to his %3D labor income from waiting, Trey makes supplemental income with his household production time by streaming video games on Twitch. He doesn't have any unearned income (V-0). Trey's preferences over consumption and household production are given by the utility function below: u (H, C) = 2\H + VT %3D Assume Trey has 16 hours each day to split between household production and consumption, if he spends 10% of his time at home streaming and earns an hourly rate of P 7, what will be his optimal allocation of household production? (hint: assume that Trey's utility-max condition remains unchanged and his supplemental income will only impact his budget constraint)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Trey works as a waiter for Puff & Stuff catering for a wage of w 11. In addition to his
%3D
labor income from waiting, Trey makes supplemental income with his household
production time by streaming video games on Twitch. He doesn't have any unearned
income (V=0). Trey's preferences over consumption and household production are
given by the utility function below:
u (H, C) = 2\H + VC
Assume Trey has 16 hours each day to split between household production and
consumption, if he spends 10% of his time at home streaming and earns an hourly
rate of P = 7, what will be his optimal allocation of household production? (hint:
assume that Trey's utility-max condition remains unchanged and his supplemental income
will only impact his budget constraint)
Transcribed Image Text:Trey works as a waiter for Puff & Stuff catering for a wage of w 11. In addition to his %3D labor income from waiting, Trey makes supplemental income with his household production time by streaming video games on Twitch. He doesn't have any unearned income (V=0). Trey's preferences over consumption and household production are given by the utility function below: u (H, C) = 2\H + VC Assume Trey has 16 hours each day to split between household production and consumption, if he spends 10% of his time at home streaming and earns an hourly rate of P = 7, what will be his optimal allocation of household production? (hint: assume that Trey's utility-max condition remains unchanged and his supplemental income will only impact his budget constraint)
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