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To find the multiplier, we need to determine the marginal propensity to consume (MPC) and use it to calculate the multiplier formula in the context of the Keynesian model. Here's how to approach it:

### Given Information:
1. **Consumption function, \( C \)**: \( C = 100 + 0.5Y \)
   - Here, the marginal propensity to consume (MPC) is \( 0.5 \).
2. **Investment, \( I \)**: \( I = 50 \)
3. **Government spending, \( G \)**: \( G = 100 \)
4. **Net exports, \( NX \)**: \( NX = 20 + 0.25Y \)
   - This includes a term \( 0.25Y \), indicating an additional factor.

### Solution
The Keynesian multiplier \( k \) is given by:

\[
k = \frac{1}{1 - (MPC - MPM)}
\]

Where:
- \( MPC = 0.5 \)
- \( MPM = 0.25 \) (marginal propensity to import based on \( NX = 20 + 0.25Y \)).

So,

\[
k = \frac{1}{1 - (0.5 - 0.25)} = \frac{1}{1 - 0.25} = \frac{1}{0.75} = 1.33
\]

### Answer
The correct answer is **A. 1.33**.

Would you like further details or have any questions?

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Here are some related questions to deepen your understanding:

1. How does the marginal propensity to consume affect the multiplier?
2. What role does the marginal propensity to import play in determining the multiplier?
3. How would changes in government spending \( G \) affect the overall equilibrium output?
4. What is the economic interpretation of the multiplier value obtained here?
5. How would an increase in the marginal propensity to consume impact the multiplier?

**Tip:** The multiplier effect shows how initial spending translates into a larger overall increase in output, emphasizing the interdependencies in the economy.

If C=100 + .5Y, I = 50, G = 100 and NX = 20 + .25, what is the multiplier?

Learn how to calculate the Keynesian multiplier given values for consumption, investment, government spending, and net exports. This example covers key macroeconomic concepts, including marginal propensity to consume (MPC) and marginal propensity to import (MPM). Suitable for college-level economics students.

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