Consider a two-individual (A & B), two-good (X &Y), two-input (L & K) economy case with the following utility (U) and production (X & Y) functions. Answer the following questions below given the fixed labor (I) and capital (K) inputs available in this economy. Given: UA = 2XA05YA05; UB=XB0.5 YB0.5 Y = 2Lx0.25Ky0.25 X=Lx0.25Kx0.25; Z=100, K = 100 1. Mathematically show and discuss the economic efficiency implications if the economy chooses to a allocate three times more labor and capital in the production of good X than in the

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GLASS-4: Individual or Group Learning Activity
Consider a two-individual (A & B), two-good (X&Y), two-input (L & K) economy case with
the following utility (U) and production (X & Y) functions. Answer the following questions
below given the fixed labor (L) and capital (K) inputs available in this economy.
Given: UA = 2XA05YA05; UB= XB0.5YB0.5
Y = 2Ly0.25K+0.25
X=Lx0.25Kx0.25;
Z=100, K = 100
1. Mathematically show and discuss the economic efficiency implications if the economy
chooses to
a. allocate three times more labor and capital in the production of good X than in the
production of good Y
b. produce equal amounts of X and Y (say by allocating 80 units of L and K to X and the
rest to Y) and allocate the goods to individuals A and B equally
Transcribed Image Text:GLASS-4: Individual or Group Learning Activity Consider a two-individual (A & B), two-good (X&Y), two-input (L & K) economy case with the following utility (U) and production (X & Y) functions. Answer the following questions below given the fixed labor (L) and capital (K) inputs available in this economy. Given: UA = 2XA05YA05; UB= XB0.5YB0.5 Y = 2Ly0.25K+0.25 X=Lx0.25Kx0.25; Z=100, K = 100 1. Mathematically show and discuss the economic efficiency implications if the economy chooses to a. allocate three times more labor and capital in the production of good X than in the production of good Y b. produce equal amounts of X and Y (say by allocating 80 units of L and K to X and the rest to Y) and allocate the goods to individuals A and B equally
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