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Summary Economic of Exercise that can help
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O mapa de curvas de indiferença para este problema pode ser representado graficamente com três curvas, representando os níveis de utilidade total de 300, 450 e 500 utils. Essas curvas representam as combinações de doses de Gin das marcas D-vine e Bimbay que proporcionam os mesmos níveis de sa...

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  • January 12, 2023
  • 5
  • 2022/2023
  • Summary

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Economy
workbook with resolution




Consider the baskets composed of the following combinations of
doses of Gin from the brands D-vine (X) and Bimbay (Y),
considered as normal goods for a certain consumer, their
respective prices and the monthly budgetary restriction affecting
only their consumption:

Being: P(X) = €10/dose ; P(Y) = €5/dose; Budgetary Restriction = €60/month




X Y
I. Graphically represent the corresponding map of indifference
curves;

By definition, an indifference curve is the geometric place where all combinations
of good X and good Y that provide a consumer with the same level of
satisfaction, translated in terms of Total Utility, are represented.

Baskets B and D have the same Total Utility, valued at 300 util.

Baskets A, E and G have the same Total Utility, valued at 450 util.

Baskets C and F have the same Total Utility, valued at 500 util.

, Knowing that the previous preferences were obtained from the utility function
U = 2 X0,2Y0,8 analytically determine the optimal monthly basket:


Max. U = 2 X0,2Y0,8 TMSYX = UMX/UMY = PX/PY TMSYX = UMX/UMY = 10/5


Sujeito a:  UMX = dU/dX  UMX = 0,2*2X0,2-1Y0,8 

UMY = dU/dY UMY = 0,8*2X0,2Y0,8-1

60 = 10X + 5Y 60 = 10X + 5Y


(1º Steps)

TMSYX = 0,2*2X0,2-1Y0,,8*2X0,2Y0,8-1 = 10/5

TMSYX = 0,2*2X-0,8 Y0,,8*2X0,2Y-0,2 = 2

TMSYX = 0,2*2/0,8*2 * X-0,8/ X0,2 * Y0,8 / Y-0,2 = 2

TMSYX = 0,2/0,8 * X-0,8-0,2 * Y0,8+0,2 = 2

TMSYX = 0,2/0,8 * X-1 * Y1 = 2

TMSYX = 0,2/0,8 * Y/X = 2  ¼ * Y/X = 2  Y/X = 2/0,25  Y/X = 8  Y = 8X

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