You are the principal economist at a firm that produces some output y based on the following function: y = f(x1, x2) = x ³ x ² 1. Calculate the marginal product (MP) of both inputs at some arbitrary input bundle (x₁, x₂). Interpret the sign of both. 2. Using your answer in the previous part, calculate OMPT₂/0x₁. Interpret what this means. 3. Calculate the technical rate of substitution between ₁ and x2, i.e., MP/MP₂. 4. Does this production function exhibit increasing, decreasing, or constant returns to scale? Show. 1 5. Lay out a brief, realistic example of x₁, x2, y that fits the dynamics that you calculated.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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You are the principal economist at a firm that produces some output y based on the following function:
y = f(x1, x2) = x ³ x ²
1. Calculate the marginal product (MP) of both inputs at some arbitrary input bundle (x₁, x₂).
Interpret the sign of both.
2. Using your answer in the previous part, calculate OMPT₂/0x₁. Interpret what this means.
3. Calculate the technical rate of substitution between ₁ and x2, i.e., MP/MP₂.
4. Does this production function exhibit increasing, decreasing, or constant returns to scale? Show.
1
5. Lay out a brief, realistic example of x₁, x2, y that fits the dynamics that you calculated.
Transcribed Image Text:You are the principal economist at a firm that produces some output y based on the following function: y = f(x1, x2) = x ³ x ² 1. Calculate the marginal product (MP) of both inputs at some arbitrary input bundle (x₁, x₂). Interpret the sign of both. 2. Using your answer in the previous part, calculate OMPT₂/0x₁. Interpret what this means. 3. Calculate the technical rate of substitution between ₁ and x2, i.e., MP/MP₂. 4. Does this production function exhibit increasing, decreasing, or constant returns to scale? Show. 1 5. Lay out a brief, realistic example of x₁, x2, y that fits the dynamics that you calculated.
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