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Let Government purchases and taxes be 500 and 400 respectively ,investment is 200 ,and the spontaneous portion of consumption is 100 , marginal consumption trend is 0.9 ,which is the value of Y?A.4400B.3800C.4000D.4200

Question

Let Government purchases and taxes be 500 and 400 respectively ,investment is 200 ,and the spontaneous portion of consumption is 100 , marginal consumption trend is 0.9 ,which is the value of Y?A.4400B.3800C.4000D.4200

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Solution

In this case, we can use the formula for the equilibrium level of income (Y) in a simple Keynesian model, which is:

Y = C + I + G

where: C is consumption, I is investment, and G is government purchases.

Consumption (C) is determined by the equation:

C = autonomous consumption + (marginal propensity to consume * Y)

where: autonomous consumption is the spontaneous portion of consumption, and marginal propensity to consume is the marginal consumption trend.

Given that the spontaneous portion of consumption is 100 and the marginal consumption trend is 0.9, we can substitute these values into the equation for C to get:

C = 100 + 0.9Y

We can then substitute this equation for C, along with the given values for I (200) and G (500), into the equation for Y to get:

Y = (100 + 0.9Y) + 200 + 500

Solving this equation for Y gives:

0.1Y = 800

Y = 800 / 0.1

Y = 8000

However, this value is not among the options provided. It's possible there may be a mistake in the question or the options. Please check the values and try again.

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