5/5/24, 7:31 AM Assessment 5
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QUIZ
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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. 350q; 150q; 150q − 150q
b. 350q; 150q + 10 000; 200q − 10 000
c. 200q − 10 000; 350q + 10 000
d. 350q; 10 000; 350q − 10 000
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.
How many lamps were produced and sold if they made a loss of R2 000?
a. 50
b. 40
c. 60
d. 10
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, 5/5/24, 7:31 AM Assessment 5
Question 3
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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 = 5000 + 2x rand. Select the mathematics equations for the revenue and profit
functions of the company.
a. 2
T R = 10x − 0, 001x ; π = −0, 001x
2
+ 8x − 5 000
b. 2
T R = 10 − 0, 001x ; π = 5 000 + 2x
c. T R = 10 − 0, 001x; π = −0, 001x
2
− 2x − 4 990
d. 2
T R = 10 − 0, 001x ; π = −0, 001x
2
+ 2x − 4 990
Question 4
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If the demand function is
P = 100 − 20Q,
where P is price per item and Q is the number of units produced (in thousands). The
daily fixed costs amount to R40 and the production cost per unit is R10. How many
units should be produced per day to break even?
a. 0, 5 or 4
b. 200
c. 4 000
d. 500 or 4 000
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