Final answer:
The government purchase multiplier can be calculated using the formula: G = 1 / (1 - MPC). In this case, the marginal propensity to consume is 1/3, so the government purchase multiplier is 3/2 or 1.5.
Step-by-step explanation:
The government purchase multiplier can be calculated using the formula:
G = 1 / (1 - MPC)
Where MPC is the marginal propensity to consume. In this case, the marginal propensity to consume is 1/3.
Substituting the value of MPC into the formula, we get:
G = 1 / (1 - 1/3)
Simplifying further:
G = 1 / (2/3)
G = 3/2
Therefore, the government purchase multiplier is 3/2 or 1.5.