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To determine the equilibrium level of income in a one-sector model, we need to know the formula for equilibrium in this context. In general, the equilibrium income level (\( Y \)) in a simple Keynesian one-sector model with consumption function \( C = a + b \cdot Y_D \), where \( a \) is autonomous consumption and \( b \) is the marginal propensity to consume, is found by equating income (Y) to aggregate demand (in this case, consumption \( C \)).

### Given information:
- \( C = 350 + 0.50 Y_D \)
- In equilibrium, \( Y = C \)

### Solution:
1. Set \( Y = 350 + 0.50 Y \).
2. Solve for \( Y \).

Let's go through the steps:

\[
Y = 350 + 0.50 Y
\]

Subtract \( 0.50 Y \) from both sides:

\[
0.50 Y = 350
\]

Now, divide by 0.50:

\[
Y = \frac{350}{0.50} = 700
\]

So, the equilibrium level of income is **700**.

### Answer:
The correct option is:
- **700**

Would you like further explanation on the calculations or related concepts? 

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Here are some related questions for practice:

1. How does a change in autonomous consumption affect the equilibrium income?
2. What is the marginal propensity to consume, and why is it important in this model?
3. If the marginal propensity to consume were 0.75 instead of 0.50, what would be the new equilibrium income?
4. How does the one-sector model differ from a multi-sector model in economic analysis?
5. What would happen to equilibrium income if autonomous consumption increased to 400?

**Tip:** In equilibrium models, the income level at equilibrium is found by setting aggregate demand equal to aggregate supply or income.

When C = 350 + 0.50 YD, the one-sector equilibrium level of income is

Learn how to find the equilibrium level of income in a one-sector economic model using the consumption function C = 350 + 0.50 YD. This solution includes step-by-step calculations and explanations. Ideal for students in college-level economics or advanced high school economics.

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