mhich of the following diagrams shows isoquants for a Cobb-Douglas production function? X2 X1 X1 X2 X2 DA

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Question:**

Which of the following diagrams shows isoquants for a Cobb-Douglas production function?

**Diagrams:**

**A:**
- The graph shows two linear lines. The lines are straight and slope downwards from left to right.
- The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal).

**B:**
- The graph contains two L-shaped lines. Each L-shape has a vertical and a horizontal component meeting at a right angle.
- The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal).

**C:**
- The graph displays two convex curves. They slope downward from left to right, bending inwards towards the origin.
- The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal).

**D:**
- The graph shows two convex curves. They are upward sloping from left to right.
- The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal).

**Options:**

- ○ A
- ○ B
- ○ C
- ○ D

**Explanation:**

The Cobb-Douglas production function is typically represented by convex curves that exhibit diminishing marginal rates of substitution. Therefore, diagram C, with its convex downward-sloping curves, is characteristic of Cobb-Douglas isoquants.
Transcribed Image Text:**Question:** Which of the following diagrams shows isoquants for a Cobb-Douglas production function? **Diagrams:** **A:** - The graph shows two linear lines. The lines are straight and slope downwards from left to right. - The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal). **B:** - The graph contains two L-shaped lines. Each L-shape has a vertical and a horizontal component meeting at a right angle. - The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal). **C:** - The graph displays two convex curves. They slope downward from left to right, bending inwards towards the origin. - The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal). **D:** - The graph shows two convex curves. They are upward sloping from left to right. - The axes are labeled \( x_2 \) (vertical) and \( x_1 \) (horizontal). **Options:** - ○ A - ○ B - ○ C - ○ D **Explanation:** The Cobb-Douglas production function is typically represented by convex curves that exhibit diminishing marginal rates of substitution. Therefore, diagram C, with its convex downward-sloping curves, is characteristic of Cobb-Douglas isoquants.
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