Question 1 (Choice). Emie has two cell phones and obtains positive utility from talking on both. His utility using AT&T (x₁) and Verizon (x₂) is given by: U(x1, x₂) = x₁05+ x₂0.5 The price of calls at AT&T is $1 per unit and the price of calls at Verizon is $4 per unit. Ernie spends $2000 on phone calls per year a) What is Ernie's optimal bundle? (Hint: You may use the Lagrange Method or simply set the MRS equal to the price ratio, and plug this into the budget constraint) 5001 to Isval valu nindo os boon tomuenos odi sob smooni mumini W (d ai (x) SlootebooW bas (2) enese shrid 101 noimmat pilou aill assiq edilylle sohn).(baams) Enoitasu and navig b) What is Ernie's utility at this optimal bundle? Essiq no 022 ebasqe zobe bns 012 ax to spingon Tanil 1) aizs-zsdh no x bns aizs no (xo o l) q diw olsu basmab stb demə (s diqmy voy nielqz31 (0 od liwz 10t bremsbah siadw oing to synes & ad lliw c) Why is it the case that at the optimal bundle Ernie is using Verizon (the more expensive service)? Why would he not spend all his money on AT&T (the less expensive service)?

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Can you help me answer these questions it's macroeconomics theory
Question 1 (Choice). Emie has two cell phones and obtains positive utility from talking on both. His utility using
AT&T (x₁) and Verizon (x₂) is given by:
U(x1, x₂) = x₁05+ x₂0.5
The price of calls at AT&T is $1 per unit and the price of calls at Verizon is $4 per unit. Ernie spends $2000 on
phone calls per year
a) What is Ernie's optimal bundle? (Hint: You may use the Lagrange Method or simply set the MRS equal to
the price ratio, and plug this into the budget constraint)
5001 to Isval vailou aindo or boon zomuenos od sob smoont muminim ad (
ai (a) botebooW bas (z) ees shrid 161 noin pilou aill assiq edilylle sohn) (basms) Enohasu
vd navig
+z+x=(x,12)U
Essiq no 022 ebasqa cohe bns 012 a to song on
basmabscb dqsi (s
b) What is Ernie's utility at this optimal bundle?
Tanil 1) aizs-zod no x bns zixe-yodi no (ix lo ozols
Con69
dgang voy nielqz (0 od liwz 10t basmab oh siadw song to agam a sd lliw
c) Why is it the case that at the optimal bundle Ernie is using Verizon (the more expensive service)? Why
would he not spend all his money on AT&T (the less expensive service)?
Transcribed Image Text:Question 1 (Choice). Emie has two cell phones and obtains positive utility from talking on both. His utility using AT&T (x₁) and Verizon (x₂) is given by: U(x1, x₂) = x₁05+ x₂0.5 The price of calls at AT&T is $1 per unit and the price of calls at Verizon is $4 per unit. Ernie spends $2000 on phone calls per year a) What is Ernie's optimal bundle? (Hint: You may use the Lagrange Method or simply set the MRS equal to the price ratio, and plug this into the budget constraint) 5001 to Isval vailou aindo or boon zomuenos od sob smoont muminim ad ( ai (a) botebooW bas (z) ees shrid 161 noin pilou aill assiq edilylle sohn) (basms) Enohasu vd navig +z+x=(x,12)U Essiq no 022 ebasqa cohe bns 012 a to song on basmabscb dqsi (s b) What is Ernie's utility at this optimal bundle? Tanil 1) aizs-zod no x bns zixe-yodi no (ix lo ozols Con69 dgang voy nielqz (0 od liwz 10t basmab oh siadw song to agam a sd lliw c) Why is it the case that at the optimal bundle Ernie is using Verizon (the more expensive service)? Why would he not spend all his money on AT&T (the less expensive service)?
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