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Consider the Utility Function u(x1,x2)=(αx1ρ+(1α)x2ρ)1/ρu \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho }

question 12

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Consider the utility function u(x1,x2)=(αx1ρ+(1α)x2ρ)1/ρu \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho } .If ρ=2\rho = 2 ,the elasticity of substitution is equal to 12\frac { 1 } { 2 } .

Identify the impact of infrastructure on economic development.
Analyze the decision-making process in investment based on interest rates and expected returns.
Comprehend the relationship between interest rates and investment levels.
Apply knowledge of economic concepts to predict the consequences of future demographic or policy changes on investment.

Definitions:

Production Costs

The total expenses incurred in the process of creating goods or services, comprising direct materials, direct labor, and overheads.

Competitive Industries

Industries characterized by a high degree of competition where no single firm or entity controls a significant portion of the market.

Total Benefits

The complete gains or advantages, in terms of money, comfort, or welfare, obtained from a particular action or investment.

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