DSC1520-25-S1 Welcome Message Assessment 1
QUIZ
Question 1
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Lighting Warehouse produces q solar lamps at a fixed cost of R10 000 per week. Each lamp costs R150 to produce and is
sold for R350.
What are the equations for total revenue, total cost and profit function?
a. T R = 350q; T C = 150q + 10 000; prof it = 200q − 10 000
b. T R = 350q + 10 000; T C = 350q; P rof it = −200q + 10 000
c. T R = 350q; T C = 150q; P rof it = 200q
d. T R = 350q; T C = 150q + 10 000; P rof it = 500q + 10 000
e. None of the given options is correct.
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Question 2
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Lighting Warehouse produces q solar lamps at a fixed cost of R10 000 per week. Each lamp costs R150 to produce and is
sold for R350.
Calculate the break-even quantity per week.
a. 200
b. 50
c. None of the given options is correct.
d. 20
e. 10 000
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,2/28/25, 12:11 PM Assessment 1
Question 3
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Lighting Warehouse produces q solar lamps at a fixed cost of R60 000 per week. Each lamp costs R300 to produce and is
sold for R600.
How many lamps were produced and sold if they made a loss of R17 000?
a. 43 000
b. None of the given options is correct.
c. 257
d. 143
e. 300
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Question 4
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The Soft toy Company knows from past experience that if it charges P rand per teddy bear, the number sold per week will be
x teddy bears, where
P = 10 − 0, 001x.
The cost to produce x teddy bears per week is given by C = 5 000 + 2x rand. Select the mathematics equations for the
revenue and profit functions of the company.
a. None of the given options is correct.
2
b. T R = 10x − 0, 001x ; π = 2x + 5 000
2 2
c. T R = 10x − 0, 001x ; π = −0, 001x + 8x − 5 000
2 2
d. T R = 10x − 0, 001x ; π = 0, 001x − 8x + 5 000
e. 2
T R = 10x − 0, 001x ; π = −0, 001x
2
+ 12x + 5 000
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Question 5
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A retail store sells a product at a price of R3, 10 per unit. If the total cost of producing x units is given by
C (x) = 300 + 0, 92x
approximately how many units should be sold to break even?
a. 138
b. None of the given options is correct.
c. 120
d. 75
e. 150
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Question 6
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Consider the profit function defined by the following:
2
y = −3x + 15x − 5
Approximately how many units must be produced to maximise a profit defined by the profit
function?
a. 8
b. None of the given options is correct.
c. 2
d. 3
e. 5
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Question 7
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The supply function for a certain product is given by
p = 110 + 0, 07q,
with p and q the price and quantity, respectively. Calculate arc elasticity of supply when the price increases from R160 to
R180.
a. Since |ϵs | > 1, supply is elastic over the given interval. If the price increases by 1%, supply will decrease by 2, 9%.
b. Since |ϵs | > 1, supply is inelastic over the given interval. If the price decreases by 1%, supply will increase by
2, 9%.
c. Since |ϵs | > 1, supply is elastic over the given interval. If the price increases by 1%, supply will increase by 2, 9%.
d. Since |ϵs | > 1, supply is inelastic over the given interval. If the price increases by 1%, supply will increase by 2, 9%.
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Question 8
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The demand and supply functions for a certain company are given as
ld = 45 − 5, 1wd
and
ls = −15 + 4, 9ws
respectively. Where labour (l) is measured in number of workers and wage (w) in hourly salary. How many workers must
the company employ at equilibrium and at what salary per hour?
a. At equilibrium the company should employ 6 workers at a wage of R6 per hour.
b. At equilibrium the company should employ 6 workers at a wage of R14 per hour.
c. At equilibrium the company should employ 14 workers at a wage of R14 per hour.
d. At equilibrium the company should employ 14 workers at a wage of R6 per hour.
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