Final answer:
The least government spending required to reach full employment in the US economy, with a marginal propensity to consume of 0.8, is $200 Billion, due to the multiplier effect which is calculated as 1/(1-0.8).
Step-by-step explanation:
To calculate the least amount of government spending required to get the US economy back to full employment with a marginal propensity to consume of 0.8, we must first understand the concept of the spending multiplier effect. This effect describes how an initial increase in spending leads to further rounds of spending by households and businesses, thus having a greater impact on the economy than the initial amount spent.
The formula for the spending multiplier is 1/(1-MPC), where MPC is the marginal propensity to consume. Substituting the given MPC of 0.8 into the formula gives us a multiplier of 1/(1-0.8) = 5. Therefore, to achieve a $1 Trillion increase in total spending, the government only needs to spend 1/5 of this amount, due to the multiplier effect.
The calculation is: $1 Trillion / 5 = $200 Billion. So, the government would need to spend at least $200 Billion to boost the economy back to full employment, thanks to the Keynesian multiplier.