CONFIDENTIAL DSC1520
Page 2 of 14 May/June 2026
Question 1
A line cuts the x-axis at 4 and cuts through the point (2; 4). The equation of the line is
[1] y = — 21 .
[2] y = 2x.
[3] y = —2x + 8.
[4] y = —21 x + 2.
Question 2
Evaluate
log3
7
1073
and give your answer correct to three decimal places.
[1] 0,199
[2] 4,581
[3] 0,218
[4] 5,032
Question 3
It costs R2,50 to print a paperback book and it costs R1,00 to bind each book. Printing and binding
setup costs are R1 000. These paperback books are sold to retailers for R4,75 each. Find the number of
paperback books that must be printed, bound and sold to break even.
[1] —800
[2] 286
[3] 800
[4] 1 008,25
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 3 of 14 May/June 2020
Question 4
Consider the following graph showing the demand and supply functions of a certain good. Which one
of the statements below is true?
[1] Point A represents the break-even point.
[2] Line 1 represents a supply function and line 2 represents a demand function.
[3] Point B represents the minimum price consumers will pay.
[4] The area of the triangle ABC represents consumer surplus.
Question 5
Consider the market defined by the following functions:
Demand function: P = 60 — 0,6Q
Supply function: P = 20 + 0,2Q
where P and Q are the price and quantity respectively. Calculate the equilibrium price and quantity.
[1] P = 30; Q = 50
[2] P = 50; Q = 30
[3] P = 180; Q = 200
[4] P = 200; Q = 180
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 4 of 14 May/June 2020
Question 6
The inequality y ≥ 3 + 3x can be graphically represented as
[1] [2]
[3] [4]
Question 7
The demand function of a certain product is P = 120 — 3Q. Determine the consumer surplus of the
product if the market price is P = 90.
[1] 10
[2] 90
[3] 150
[4] 450
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 5 of 14 May/June 2020
Question 8
The supply function of a good is given by
Ps = Q2 — 2Q + 12.
Determine the producer surplus if ten units are supplied (Q = 10) at price P .
[1] 353,33
[2] 566,67
[3] 686,67
[4] 1 273,33
Question 9
Find the equilibrium price (P ) and quantity (Q) for the demand and supply functions,
Qd = 24 — 3P
and
Qs = 4 + 2P.
[1] Q = 12; P = 4
[2] Q = 13; P = 10
[3] Q = 3; P = 16
[4] Q = 16; P = 3
Questions 10 and 11 are based on the following information:
A company produces q solar lamps at a fixed cost of R5 000 per week, and a variable cost of R150 per
lamp. Each lamp is sold for R300.
Question 10
What are the equations for total revenue, total cost and profit function?
[1] TR = 300q; TC = 150q + 5 000; π = 150q — 5 000
[2] TR = 150q + 5 000; TC = 150q — 5 000; π = 300q
[3] TR = 300q; TC = 150q — 5 000; π = 150q + 5 000
[4] TR = 150q — 5 000; TC = 300q; π = 150q + 5 000
Question 11
How many lamps were produced and sold if they made a loss of R2 000?
[1] 20
[2] 40
[3] 33
[4] 47
[TURN OVER]
Page 2 of 14 May/June 2026
Question 1
A line cuts the x-axis at 4 and cuts through the point (2; 4). The equation of the line is
[1] y = — 21 .
[2] y = 2x.
[3] y = —2x + 8.
[4] y = —21 x + 2.
Question 2
Evaluate
log3
7
1073
and give your answer correct to three decimal places.
[1] 0,199
[2] 4,581
[3] 0,218
[4] 5,032
Question 3
It costs R2,50 to print a paperback book and it costs R1,00 to bind each book. Printing and binding
setup costs are R1 000. These paperback books are sold to retailers for R4,75 each. Find the number of
paperback books that must be printed, bound and sold to break even.
[1] —800
[2] 286
[3] 800
[4] 1 008,25
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 3 of 14 May/June 2020
Question 4
Consider the following graph showing the demand and supply functions of a certain good. Which one
of the statements below is true?
[1] Point A represents the break-even point.
[2] Line 1 represents a supply function and line 2 represents a demand function.
[3] Point B represents the minimum price consumers will pay.
[4] The area of the triangle ABC represents consumer surplus.
Question 5
Consider the market defined by the following functions:
Demand function: P = 60 — 0,6Q
Supply function: P = 20 + 0,2Q
where P and Q are the price and quantity respectively. Calculate the equilibrium price and quantity.
[1] P = 30; Q = 50
[2] P = 50; Q = 30
[3] P = 180; Q = 200
[4] P = 200; Q = 180
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 4 of 14 May/June 2020
Question 6
The inequality y ≥ 3 + 3x can be graphically represented as
[1] [2]
[3] [4]
Question 7
The demand function of a certain product is P = 120 — 3Q. Determine the consumer surplus of the
product if the market price is P = 90.
[1] 10
[2] 90
[3] 150
[4] 450
[TURN OVER]
, CONFIDENTIAL DSC1520
Page 5 of 14 May/June 2020
Question 8
The supply function of a good is given by
Ps = Q2 — 2Q + 12.
Determine the producer surplus if ten units are supplied (Q = 10) at price P .
[1] 353,33
[2] 566,67
[3] 686,67
[4] 1 273,33
Question 9
Find the equilibrium price (P ) and quantity (Q) for the demand and supply functions,
Qd = 24 — 3P
and
Qs = 4 + 2P.
[1] Q = 12; P = 4
[2] Q = 13; P = 10
[3] Q = 3; P = 16
[4] Q = 16; P = 3
Questions 10 and 11 are based on the following information:
A company produces q solar lamps at a fixed cost of R5 000 per week, and a variable cost of R150 per
lamp. Each lamp is sold for R300.
Question 10
What are the equations for total revenue, total cost and profit function?
[1] TR = 300q; TC = 150q + 5 000; π = 150q — 5 000
[2] TR = 150q + 5 000; TC = 150q — 5 000; π = 300q
[3] TR = 300q; TC = 150q — 5 000; π = 150q + 5 000
[4] TR = 150q — 5 000; TC = 300q; π = 150q + 5 000
Question 11
How many lamps were produced and sold if they made a loss of R2 000?
[1] 20
[2] 40
[3] 33
[4] 47
[TURN OVER]
