DSC1520 ASSESSMENT 1 semester 1 2024 Quantitative Modelling I - DSC1520

2/27/24, 6:42 PM Assessment 1




DSC1520-24-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

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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

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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




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