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To find the equilibrium level of income in a one-sector economy, we use the formula for the consumption function provided:

\[
C = 150 + 0.90 \, Y_D
\]

where:
- \( C \) is the total consumption,
- \( 150 \) is autonomous consumption (the part of consumption that doesn’t depend on disposable income),
- \( 0.90 \) is the marginal propensity to consume (MPC),
- \( Y_D \) is disposable income.

In a one-sector model, equilibrium occurs when aggregate demand \( AD \) equals total output (income), which we can assume is represented by \( Y \) here. Thus, at equilibrium:

\[
Y = C
\]

Substitute \( C = 150 + 0.90 \, Y \) (assuming \( Y_D = Y \) in this simplified model, as there are no taxes or other adjustments):

\[
Y = 150 + 0.90 \, Y
\]

To solve for \( Y \), we isolate \( Y \) on one side:

1. Rearrange the equation:

   \[
   Y - 0.90 \, Y = 150
   \]

2. Simplify:

   \[
   0.10 \, Y = 150
   \]

3. Divide by \( 0.10 \):

   \[
   Y = \frac{150}{0.10} = 1500
   \]

Thus, the equilibrium level of income \( Y \) is **1500**.

Would you like further details on this solution, or do you have any additional questions?

### Related Questions
1. What is the impact on equilibrium income if autonomous consumption increases?
2. How does a change in the marginal propensity to consume affect the equilibrium income?
3. What would happen to equilibrium income if disposable income \( Y_D \) included taxes?
4. How would the equilibrium level of income change in a two-sector or three-sector economy?
5. Can we calculate the multiplier from the given consumption function?

### Tip
When calculating equilibrium income, isolating \( Y \) by factoring out the marginal propensity to consume (MPC) makes it straightforward to solve.

When C = 150 + 0.90 YD, the one-sector equilibrium level of income is

Understand how to calculate the equilibrium level of income in a one-sector economy with the consumption function C = 150 + 0.90 YD. This problem explains the equilibrium condition in economics and covers the consumption function formula, ideal for students studying introductory economics.

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