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The given problem involves a consumption function \( C = 350 + 0.50 Y_D \), where \( C \) is consumption and \( Y_D \) is disposable income. To find the one-sector equilibrium level of income, we need to consider the basic macroeconomic equilibrium condition:

\[
Y = C + I
\]

In this simplified case (one-sector economy), assume investment \( I = 0 \) (or not explicitly given). The equilibrium condition becomes:

\[
Y = C
\]

Given the consumption function:

\[
C = 350 + 0.50 Y
\]

At equilibrium:

\[
Y = 350 + 0.50 Y
\]

Now solve for \( Y \). Subtract \( 0.50 Y \) from both sides:

\[
Y - 0.50 Y = 350
\]

\[
0.50 Y = 350
\]

Divide both sides by 0.50:

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

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

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Do you have any further questions or need more explanation? Here are 5 related questions to deepen understanding:

1. How does changing the consumption function affect equilibrium income?
2. What role would investment \(I\) play if included in this problem?
3. How would the marginal propensity to consume (MPC) impact equilibrium income?
4. What happens to the equilibrium level if autonomous consumption (350) increases?
5. How is equilibrium affected in a two-sector economy (with government)?

**Tip:** The marginal propensity to consume (MPC) reflects the fraction of additional income spent on consumption. Here, it’s 0.50.

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

Discover how to find the equilibrium level of income for the consumption function C = 350 + 0.50 YD. This problem covers macroeconomic concepts like the equilibrium condition in a one-sector economy and involves basic algebra. Suitable for high school economics students.

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