To determine the size of the multiplier, we utilize the formula for the multiplier effect in economics:
\[ \text{Multiplier} = \frac{\text{Change in GDP}}{\text{Initial Change in Investment}} \]
From the information given:
- The initial change in investment spending is $10 billion.
- The total change in GDP after the first and second rounds is $10 billion (first round) + $6 billion (second round) = $16 billion.
Now we can plug these values into the multiplier formula:
\[ \text{Multiplier} = \frac{16 \text{ billion}}{10 \text{ billion}} = 1.6 \]
Answer for part a: The size of the multiplier is 1.6.
This indicates that for every dollar of initial investment, the total increase in GDP is $1.60.