Anonymous
Mar 10
Find the position vector of the point which divided the line between the points P(5,6) and Q (-1,-8) in the ratio 1:1?
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ChatGPT
Mar 10
To find the position vector of the point which divides the line between points P(5,6) and Q(-1,-8) in the ratio 1:1, we can use the formula:
R = (1/(1+1)) * Q + (1/(1+1)) * P
R = (1/2) * (-1,-8) + (1/2) * (5,6)
R = (-1/2, -4) + (5/2, 3)
R = (4/2, -1)
R = (2, -1)
Therefore, the position vector of the point which divides the line between points P(5,6) and Q(-1,-8) in the ratio 1:1 is (2, -1).
R = (1/(1+1)) * Q + (1/(1+1)) * P
R = (1/2) * (-1,-8) + (1/2) * (5,6)
R = (-1/2, -4) + (5/2, 3)
R = (4/2, -1)
R = (2, -1)
Therefore, the position vector of the point which divides the line between points P(5,6) and Q(-1,-8) in the ratio 1:1 is (2, -1).
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Anonymous
Mar 31
What is the basic difference between cardinal and ordinal approaches of utility? (2 points)
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A person has birr 100 to spend on two goods X and Y whose respective prices are birr 5 and birr 3. Assuming a utility function given as , then
Write the budget line equation and draw the budget line( 1 point)
Find the utility maximizing combinations of X and Y (1 point)
Calculate marginal rate of substitution of X for Y (MRSX,Y) at equilibrium and interpret your result (1 point)
Consider the following short run production function:
Derive the functions of average product of labor and marginal product of labor. (1 point)
Find the output level that maximizes average product of labor and marginal product of labor. (2 points )
Find the ranges of labor employment corresponding to the three stages of production. (2 points )
A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by , where TC is the total cost and Q is the level of output.
What level of output should the firm produce to maximize its profit? (2 points)
What minimum price is required by the firm to stay in the market? ( 2 points)
Currently, Ethiopia faces the growing unemployment, particularly; youth unemployment presents a particular challenge to Ethiopia; the country faces growing youth landlessness in rural areas and insignificant urban job creation. The economic cost of unemployment is very high, and it is a big hurdle in the path towards rapid economic development or economic growth.
Discuss in detail the impact of unemployment on economic growth. (3 points) (hint: use your chapter 6 as a base reference and other sources).
Price stability is one of the major goals of any country macroeconomics; but Ethiopia has been facing a sustained rise in general price level of goods and services in 2021.
Briefly discuss the causes of inflation and its effect on economic growth (3 points) (hint: use your chapter 6 material as a base reference and other sources).
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