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
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
