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Economics Group Assignment

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St.

Mary’s University

Faculty of Business

Department of Economics
Introduction to Economics Group Assignment

Name: _______________________________

ID. No: _______________________________

Department: __________________________

Program: Degree

Instructions:

 This is the only group assignment of this course


 Number of students in one group is not more than 6.
 This assignment is to be completed and submitted to instructor before December 20/2022
or deadline to submit these assignments will be December 20/2022.
 Any kind of copy is series consequences.
 Do all questions and show all necessary steps and explain it if it is necessary.

1|Page Compiled by Assefa Belay (MSC in Economics)


1. Given the Total Utility function (T U) = 150x+40x2- x3, then
A. Derive marginal utility function and find the value of x at which total utility is maximum.
2. Suppose the generic demand function of a hypothetical good is given by:
Qd = 250 + 0.75Y- 0.35P + 0.25Py + 500, where Y is income, Py is price of the related good
and P is price of the good .Y =1500. P=3, Py =2 then
A. Find quantity of demand
B. Calculate price elasticity of demand and interpret your result
C. Calculate income elasticity of demand and identify the types of goods.
D. Calculate cross price elasticity of demand and identify the nature of the good
3.Assum that the total expenditure of a consumer on two goods X and Y is birr 2000 and
prices of good X and Y are birr 50 and birr 40 respectively .Then formulate his budget
equation and sketch the graph.
4.Suppose individual demand and supply function for acmmodity are given respectively as
Qd =100-20P and Qs =40P-120, where Q refers to the quntity and p refers to price . If there
are 20 buyers and 10 suppliers of the commodity ,then
A. Find market demand and market supply functions.
B. Find equilibrium quantity of product .
C.What is equlibrium price of a product ?
5. Complete the following table by finding Marginal Product & Average Product.
Labor Output Marginal Average product
product
0 0

1 2

2 6

3 12

4 16

5 21

2|Page Compiled by Assefa Belay (MSC in Economics)


6. Complete the following table by finding , , , , ,
Out put Fixed Variable Total Average Average Average Marginal
cost Cost Cost Cost Fixed Variable Cost
( ) ( ) ( ) ( ) Cost Cost
0 100 0

1 100 120

2 100 160

3 100 220

4 100 280

5 100 360

6 100 420

7 100 520

8 100 600

9 100 680

10 100 720

7. Suppose that, for perfectly competitive firm of marginal cost function is given by:

MC = Q2-2Q+20, then

A. Find the equilibrium level of output, if price per unit of a good produced is birr 44.
B. Find total amount of MC, Total Cost and Total revenue
C. Find maximum amount of profit
8. A consumer has 300 birr to spend on two commodities , the first time costs 10 birr and the
second one cost 15 birr. Suppose that the utility of the consumer be defined by

U(x,y) =5x0.6 y0.4 where x is the first item and y is second commodity .

3|Page Compiled by Assefa Belay (MSC in Economics)


A. How many units of each item should the consumer buy in order to maximize utility?

B. What is maximum utility of consumer?

9. Suppose there are two goods x and y in the economy and are traded as
indicated in the table. The base year is 2008.

A. Calculate the nominal GDP for each year


B. Calculate the real GDP for each year.
C. Which year is there economic growth? Why?
D. What is the real GDP per capita of 2008, if the total population is 2?
E. Calculate consumer price index (CPI)
F. Calculate inflation rate
10. Suppose a particular consumer has 8 birr to be spent on two goods, A and B. The unit price
of good A is 2 birr and the unit price of B is 1 birr. The marginal utility (MU) she gets from
consumption of the goods is given below.

A) Based on the cardinal analysis, what is the combination of the two goods that gives
maximum utility to the consumer?
B) What is the total utility at the utility maximization level?

4|Page Compiled by Assefa Belay (MSC in Economics)

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