Final answer:
With an MPC of 0.79, the increase in government purchases of $1,569 leads to an increase in real GDP of $7468.84, as per the multiplier effect.
Step-by-step explanation:
When the marginal propensity to consume (MPC) is 0.79 and government purchases increase by $1,569, the corresponding change in real GDP can be determined using the multiplier effect.
The multiplier can be calculated as 1 divided by the marginal propensity to save (MPS), which is 1 minus the MPC. So, the multiplier in this case would be 1 / (1 - 0.79) = 1 / 0.21 = 4.76. To find the total change in real GDP, we multiply the change in government spending by the multiplier: $1,569 * 4.76. This results in an increase in real GDP of $7468.84 when rounded to two decimal places.