Question
SectionC:Calculations [50] Question1 [8] Suppose that business travelers and holidaymakers have the following demand for FlySafairticketsfromJohannesburg toCapeTown. Price(R) QuantityDemanded (BusinessTravelers) QuantityDemanded (HolidayMakers) 1500 2100 3000
SectionC:Calculations [50]
Question1 [8]
Suppose that business travelers and holidaymakers have the following demand for FlySafairticketsfromJohannesburg toCapeTown.
Price(R) | QuantityDemanded (BusinessTravelers) | QuantityDemanded (HolidayMakers) |
1500 | 2100 | 3000 |
2000 | 2000 | 2800 |
2500 | 1999 | 2600 |
3000 | 1800 | 2400 |
a.) As the price of tickets rises from R2000 to R2500, what is the price elasticity of demandfori)thebusinesstravelersandii)theholidaymakers?Makeuseofthearcformula. [4]
b.)Interpretyouranswersina. [4]
Question2 [4]
The table below represents Julie's marginal utilities and total utilities for the consumption ofSteers Burgers and Coke. The price per burger is R24 and a can of coke costs R12. Julie hasR120 to spend on fast food each week. Complete the table and indicate which combinationofproductsshewill choosetomaximiseherutility.Roundanswerstotwodecimals.
BURGERS | COLA | |||||
UNITS | TU | MU | WMU | TU | MU | WMU |
0 | ||||||
1 | 272 | 13 | ||||
2 | 10 | 276 | ||||
3 | 192 | 108 | ||||
4 | 848 | 8 | ||||
5 | 80 | 72 |
Question3 [12]
A producer of optical fibre for telecommunication presents the fixed cost and variable costassociated with his production in the table below. The unit price of the optical fibre is solelydeterminedbymarketforces.Completethetablebelow.Roundyouranswerstotwodecimalplaceswhereapplicable.Roundanswerstotwodecimals.
Quantity | Price(R) | Fixedcost(TFC) | Variablecost(TVC) | Totalcost(TC) | Averagecost(AC) | Averagefixedcost (AFC) | Averagevariablecost (AVC) | Marginalcost(MC) |
0 | 100 | 100 | 0 | - | - | - | - | |
1 | 90 | 30 | 100 | 30 | ||||
2 | 80 | 58 | 79 | 29 | ||||
3 | 70 | 183 | 61 | |||||
4 | 60 | 208 | 27 | |||||
5 | 50 | 253 | 20 |
Question4: [7]
Calculatethefollowinggiven theinformationinafour-sectormacroeconomicmodel:
Autonomous Consumption = 50Investment=20
Governmentspending=40
Consumershavea marginal propensitytoconsume of80per cent.
a.)Macro-equilibriumincomeusingtheincome/spendingapproach [4]b.)Thenewequilibrium incomeif investmentdecreases with10.Makeuseofthemultiplier.
[3]
Question5 [10]
Calculate the following given the information in a four-sector macroeconomic model:Autonomous Consumption=100
Tax= 10
Investment=10Governmentspending=30 C
Consumersspend75cofeach rand.
a.)Macro-equilibriumincomeusingtheinjection/leakageapproach. [6]
b.)Thenewequilibriumincome ifinvestmentincreaseswith20.Makeuseofthemultiplier.
[4]
Question6 [8]
Answerthequestionsbasedonthefollowingpriceandoutputdataoverafive-yearperiodforan economythatproducesonly one good.Assumethatyear2 isthebase year.
Year | Units ofOutput | Price per Unit(rand) |
1 | 800 | 200 |
2 | 1000 | 300 |
3 | 1500 | 400 |
4 | 1800 | 500 |
5 | 2000 | 600 |
a.)Ifyear 2isthebaseyear,thepriceindexforyear 3is: [2]
b.)Inyear4,nominalGDP wouldbe: [2]
c.)Real GDP inyear5 is: [2]
d.)Thepercentage increaseinreal GDPfrom year2toyear 5is: [2]
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