Adrienne and Sarah consume pizza Z and cola C. Their utility functions and marginal utilities are, respectively: SMU = CA MU = ZA' SMU; = 0.5Z50.5 C5 MU = 0.5Z95C50.5 %3D UA = ZĄCA = Us = Zg5Cg.5 → Finally, Adrienne's and Sarah's endowments are: ZA = 10, СА 3D 20, Zs = 20, Cs = 10 %3D a. What are the marginal rates of substitution for each person? b. Draw an Edgeworth box for this situation labelling the initial endowment and the indifference curves passing through it. Place Adrienne on the SW corner, and good Z on the vertical axis. C. Add the contract curve to the Edgeworth box. What is the formula for this curve? Hint: First, use the total endowments to express Cs and Zg in terms of C, and ZA. Then, recall that the MRSS are equal along the contract curve.
Adrienne and Sarah consume pizza Z and cola C. Their utility functions and marginal utilities are, respectively: SMU = CA MU = ZA' SMU; = 0.5Z50.5 C5 MU = 0.5Z95C50.5 %3D UA = ZĄCA = Us = Zg5Cg.5 → Finally, Adrienne's and Sarah's endowments are: ZA = 10, СА 3D 20, Zs = 20, Cs = 10 %3D a. What are the marginal rates of substitution for each person? b. Draw an Edgeworth box for this situation labelling the initial endowment and the indifference curves passing through it. Place Adrienne on the SW corner, and good Z on the vertical axis. C. Add the contract curve to the Edgeworth box. What is the formula for this curve? Hint: First, use the total endowments to express Cs and Zg in terms of C, and ZA. Then, recall that the MRSS are equal along the contract curve.
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.9P
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Can you help me solve this problem please?
![Adrienne and Sarah consume pizza Z and cola C. Their utility functions and marginal utilities are,
respectively:
SMU = CA
MU = ZA'
SMU = 0.5Z,05C5
IMU = 0.5Zg5C50.5
-0.5c0.5
UA = ZĄCA =
Us = Zg5Cg5 =
%3D
Finally, Adrienne's and Sarah's endowments are:
ZA = 10,
CA = 20,
Zs = 20,
Cs = 10
%3D
a. What are the marginal rates of substitution for each person?
b. Draw an Edgeworth box for this situation labelling the initial endowment and the indifference
curves passing through it. Place Adrienne on the SW
orner, and good Z on the vertical axis.
C. Add the contract curve to the Edgeworth box. What is the formula for this curve? Hint: First,
use the total endowments to express Cs and Zg in terms of CA and ZA. Then, recall that the MRSS
are equal along the contract curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b46e33d-f525-4d43-8752-1ba2f1815951%2F4da047ba-1192-446c-b414-8a5fb6bc816e%2Fbz3y4yo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Adrienne and Sarah consume pizza Z and cola C. Their utility functions and marginal utilities are,
respectively:
SMU = CA
MU = ZA'
SMU = 0.5Z,05C5
IMU = 0.5Zg5C50.5
-0.5c0.5
UA = ZĄCA =
Us = Zg5Cg5 =
%3D
Finally, Adrienne's and Sarah's endowments are:
ZA = 10,
CA = 20,
Zs = 20,
Cs = 10
%3D
a. What are the marginal rates of substitution for each person?
b. Draw an Edgeworth box for this situation labelling the initial endowment and the indifference
curves passing through it. Place Adrienne on the SW
orner, and good Z on the vertical axis.
C. Add the contract curve to the Edgeworth box. What is the formula for this curve? Hint: First,
use the total endowments to express Cs and Zg in terms of CA and ZA. Then, recall that the MRSS
are equal along the contract curve.
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