High School

Suppose AD in a country is given by [tex]p = 210 - 0.02y[/tex], SRAS is given by [tex]p = 100[/tex], and potential output is equal to 7000. The marginal propensity to consume is 0.4.

What is the equilibrium level of income (Y)?

A. 5000
B. 6000
C. 7000
D. 8000

Answer :

Final answer:

The equilibrium level of income (Y) is 5500.

Explanation:

To find the equilibrium level of income (Y), we need to set the aggregate demand (AD) equal to the short-run aggregate supply (SRAS). In this case, the aggregate demand is given by p = 210 - 0.02y, and the short-run aggregate supply is given by p = 100. To determine the equilibrium level of income, we need to solve the equation:

210 - 0.02y = 100

Simplifying the equation, we get:

0.02y = 110

Dividing both sides by 0.02, we get:

y = 5500

Therefore, the equilibrium level of income (Y) is 5500.

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Final answer:

The equilibrium level of income (Y) is found by setting the aggregate demand function equal to the short-run aggregate supply. Solving for Y yields 5,500, i.e., option b) 6000.

Explanation:

The equilibrium level of income (Y) can be determined by using the given aggregate demand (AD) function and the short-run aggregate supply (SRAS). AD is provided by the function p = 210 - .02y and SRAS is constant at p = 100. We can set these two equations equal to each other to find the equilibrium income level.

So, 210 -.02y = 100. Solving this equation for Y gives Y = (210-100)/.02 = 5,500. Therefore, the equilibrium level of income (Y) is option b) 6000. This would signify that aggregate demand equals aggregate supply at this income level, indicating equilibrium within the economy.

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