Final answer:
Using the multiplier formula, which takes into account the proportions of spending that go to taxes, savings, and imports, it is calculated that to increase the equilibrium GDP by 300, a government spending increase of 131.25 is required, raising the G value from 200 to 331.25.
Step-by-step explanation:
The multiplier in economics is a measure of the impact that an increase in investment or government spending will have on the overall equilibrium output of an economy. To calculate the increase in government spending needed to raise equilibrium output from 5,454 to 6,000, the multiplier formula can be used. From the information provided, the calculation involves understanding that for every dollar spent, certain portions go to taxes, savings, and imports, resulting in the following equation:
1 / (1 - 0.5625) = 2.2837
Therefore, to increase the equilibrium GDP by 300, using the formula, it would require a government spending increase of:
300 / 2.2837 = 131.25
Consequently, the G value would increase from 200 to 331.25, an increase of 131.25, to achieve the desired rise in equilibrium output.