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Solution

The following table illustrates the completed table. The equilibrium is level is italicized.

National Income After-tax Income Consumption I + G + X Minus Imports Aggregate Expenditures
$8,000 $4,800 $4,340 $5,000 $240 $9,100
$9,000 $5,400 $4,820 $5,000 $270 $9,550
$10,000 $6,000 $5,300 $5,000 $300 $10,000
$11,000 $6,600 $5,780 $5,000 $330 $10,450
$12,000 $7,200 $6,260 $5,000 $360 $10,900
$13,000 $7,800 $46,740 $5,000 $4,390 $11,350

The alternative way of determining equilibrium is to solve for Y, where Y = national income, using: Y = AE = C + I + G + X – M

Y = $500 + 0.8(Y – T) + $2,000 + $1,000 + $2,000 – 0.05(Y – T)

Solving for Y, we see that the equilibrium level of output is Y = $10,000.

Explain how the multiplier works. Use an MPC of 80% in an example.

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Solution

The multiplier refers to how many times a dollar will turnover in the economy. It is based on the Marginal Propensity to Consume (MPC) which tells how much of every dollar received will be spent. If the MPC is 80% then this means that out of every one dollar received by a consumer, $0.80 will be spent. This $0.80 is received by another person. In turn, 80% of the $0.80 received, or $0.64, will be spent, and so on. The impact of the multiplier is diluted when the effect of taxes and expenditure on imports is considered. To derive the multiplier, take the 1/1 – F; where F is equal to percent of savings, taxes, and expenditures on imports.

Review questions

What is on the axes of an expenditure-output diagram?

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What does the 45-degree line show?

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What determines the slope of a consumption function?

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What is the marginal propensity to consume, and how is it related to the marginal propensity to import?

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Why are the investment function, the government spending function, and the export function all drawn as flat lines?

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Why does the import function slope down? What is the marginal propensity to import?

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What are the components on which the aggregate expenditure function is based?

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Is the equilibrium in a Keynesian cross diagram usually expected to be at or near potential GDP?

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What is an inflationary gap? A recessionary gap?

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What is the multiplier effect?

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Why are savings, taxes, and imports referred to as “leakages” in calculating the multiplier effect?

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Will an economy with a high multiplier be more stable or less stable than an economy with a low multiplier in response to changes in the economy or in government policy?

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How do economists use the multiplier?

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Critical thinking questions

What does it mean when the aggregate expenditure line crosses the 45-degree line? In other words, how would you explain the intersection in words?

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Which model, the AD/AS or the AE model better explains the relationship between rising price levels and GDP? Why?

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What are some reasons that the economy might be in a recession, and what is the appropriate government action to alleviate the recession?

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What should the government do to relieve inflationary pressures if the aggregate expenditure is greater than potential GDP?

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Two countries are in a recession. Country A has an MPC of 0.8 and Country B has an MPC of 0.6. In which country will government spending have the greatest impact?

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Compare two policies: a tax cut on income or an increase in government spending on roads and bridges. What are both the short-term and long-term impacts of such policies on the economy?

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What role does government play in stabilizing the economy and what are the tradeoffs that must be considered?

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If there is a recessionary gap of $100 billion, should the government increase spending by $100 billion to close the gap? Why? Why not?

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What other changes in the economy can be evaluated by using the multiplier?

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References

Joyner, James. Outside the Beltway. “Public Financing of Private Sports Stadiums.” Last modified May 23, 2012. http://www.outsidethebeltway.com/public-financing-of-private-sports-stadiums/.

Siegfried, John J., and Andrew Zimbalist. “The Economics of Sports Facilities and Their Communities.” Journal of Economic Perspectives . no. 3 (2000): 95-114. http://pubs.aeaweb.org/doi/pdfplus/10.1257/jep.14.3.95.

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
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what is the change in momentum of a body?
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please solve
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8m/s²
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velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
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which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
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I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
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temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
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about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
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definitely of physics
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physics, biology and chemistry this is my Field
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Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
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like charges repel while unlike charges atttact
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AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Macroeconomics. OpenStax CNX. Jun 16, 2014 Download for free at http://legacy.cnx.org/content/col11626/1.10
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