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DSC1520 ASSESSMENT 1 semester 1 2024 Quantitative Modelling I - DSC1520
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DSC1520 ASSESSMENT 1 semester 1 2024 Quantitative Modelling I - DSC1520
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2/27/24, 6:42 PM Assessment 1DSC1520-24-S1 Welcome Message Assessment 1
QUIZ
Question 1
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Suppose the cost of manufacturing 10 units of a product is R40 and the cost of manufacturing 20 units is R70. If the cost
C is linearly related to output Q (units produced), the cost of producing 35 items is
a. R115, 00
b. R71, 67
c. R113, 33
d. R15, 00
Clear my choice
Question 2
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The demand and cost functions of a commodity are given by the equations
Demandf unction : Q = 6 000 − 30P
and
C ostf unction : C (Q) = 5 000 + 2Q,
where P and Q are the price and quantity, respectively. The total revenue function (T R) in terms of P is
a. T R = 6000 − 30P
2
b. T R = 6000 − 30P
c. T R = P (6000 − 30P )
d. T R = 6000 + 30P
Clear my choice
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=15001737&cmid=842662 1/6
, 2/27/24, 6:42 PM Assessment 1
Question 3
Not yet answered
Marked out of 6.00
The demand and cost functions of a commodity are given by the equations
Demandf unction : Q = 6000 − 30P
and
C ostf unction : C (Q) = 5 000 + 2Q,
where P and Q are the price and quantity, respectively. What is the company’s profit function?
a. P rof it = −30P
2
+ 6 060P − 17 000
b. P rof it = −30P
2
+ 6 060P − 7 000
c. P rof it = −30P
2
+ 5 940P + 7 000
d. P rof it = −30P
2
+ 5 940P − 17 000
Clear my choice
Question 4
Not yet answered
Marked out of 6.00
Use rules of logarithms to solve the equation
2
3ln(2x ) − 5lnx = 7.
a. 137.
b. 56.
c. 182, 67.
d. 0, 007.
Clear my choice
https://mymodules.dtls.unisa.ac.za/mod/quiz/attempt.php?attempt=15001737&cmid=842662 2/6
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