DSC1520-25-S1 Welcome Message Assessment 3
QUIZ
Question 1
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The demand function of a firm is
Q = 180 − 3P
where Q and P represent the quantity and price respectively. At what value of P is
the marginal revenue equal to zero?
a. 30
b. 60
c. 180
d. 0
e. None of the given options is correct.
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Question 2
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The demand function of a firm is
Q = 180 − P
where Q and P represent the quantity and price respectively. At what price is
revenue a maximum?
a. 90
b. 180
c. 1
d. 0
e. None of the given options is correct.
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,2/28/25, 1:09 PM Assessment 3
Question 3
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If the total cost is given by
3 2
T C = 5Q − 10Q + 50Q + 150
What is the marginal cost when Q = 30?
a. 12 950
b. 127 650
c. 4 255
d. 432
e. None of the given options is correct.
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Question 4
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If the total revenue is given by
5 2
T R = 2x − x + 10x + 15.
What is the marginal revenue when
x = 3?
a. 814
b. 522
c. 271
d. 174
e. None of the given options is correct.
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,2/28/25, 1:09 PM Assessment 3
Question 5
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Find the values of x for which the function
3
f (x) = x − 24x + 6
has a minimum or maximum value.
a. x = −2 and x = 2
b. x = −3 and x = 3, 46
c. x = 0 and x = 6
d. x = 2 and x = 4
e. None of the given options is correct.
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Question 6
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The demand function Q and cost function C (Q) of a commodity are given by the
equations
Q = 20 − 0.01P ,
and
C (Q) = 60 + 6Q,
where P and Q are the price and quantity, respectively. The total revenue function
(T R) in terms of P is
a. T R = 20P − 0.01P
2
b. T R = 180P − 0.06P
2
2
c. T R = 60P + 6P
d. T R = 20, 06P + 1 320
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, 2/28/25, 1:09 PM Assessment 3
Question 7
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Bongi supplies trays of fresh sandwiches to offices daily. Her daily fixed cost
amount to R844, while her variable cost is R27 per tray. Bongi's total cost and
marginal cost functions (interms of the number of trays supplied, Q) are given by
a. T C = 844 + 27Q; M C = 27
b. T C = 27; M C = 844 + 27Q
c. T C = 844 + 27Q; M C = 27Q
d. T C = 27Q; M C = 844 + 27Q
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Question 8
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The demand and total cost functions for a firm are given by
p = 50 − 2q
and
T C = 160 + 2q.
Determine the area where the profit will be made.
a. 4 < q < 20
b. q = 4 or q = 20
c. q < 4 and q > 20
d. q > 20
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