$10 billion gov’t spending increase with MPC 0.9 raises AD by:
$100 billion.
An increase in government spending directly increases aggregate demand (AD) by a multiple of the spending amount, determined by the marginal propensity to consume (MPC). With an MPC of 0.9, the total increase in AD from a $10 billion spending increase is calculated using the formula: \( \text{Multiplier} = \frac{1}{1 - MPC} \), leading to a multiplier of 10, thus raising AD by $100 billion.
This choice incorrectly suggests a minimal increase in AD. The $9 billion value does not account for the multiplicative effect of the MPC on the initial government spending. Instead, it incorrectly assumes that only a fraction of the spending directly increases AD without considering the full multiplier effect.
This option represents the initial increase in government spending itself, not the resultant change in AD. While $10 billion is the direct fiscal injection, it fails to incorporate the additional effect stemming from the consumption induced by the MPC, which amplifies the impact on overall demand.
Here, the increase of $90 billion suggests an error in applying the multiplier effect. Although it recognizes that the AD increase is more than just the initial spending, it underestimates the total effect. The correct calculation shows that the increase should be $100 billion, not $90 billion, as the entire spending cycle is accounted for.
The increase in AD from a $10 billion government spending boost is accurately calculated as $100 billion, due to the multiplier effect of the MPC of 0.9. This choice correctly reflects the total change in aggregate demand, incorporating both the direct spending and the subsequent rounds of consumption generated by that spending.
In summary, government spending increases can significantly affect aggregate demand when considering the multiplier effect associated with the marginal propensity to consume. In this instance, a $10 billion increase in spending, with an MPC of 0.9, raises AD by $100 billion, as each dollar spent is re-circulated within the economy. The other choices fail to reflect the complete impact of the spending increase on overall demand.
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