Summary TUTORIAL 9 QUESTION PAPER

STK120 -162 TUT 9 Preparation


Question 1

a. 5 𝑑𝑥

b. 2𝑥 𝑑𝑥

c. 2 5√𝑥 𝑑𝑥
√



d. √3𝑥 1 5 𝑑𝑥

e. 𝑑𝑝

f. 𝑑𝑥

g. 𝑥 2 𝑥 8𝑥 𝑑𝑥


h. 𝑥𝑒 𝑑𝑥

Question 2
The marginal revenue (in Rand) of a coffee shop when x units of a product are sold is given by:
60𝑥
𝑅 𝑥
𝑥 1
The total income function, 𝑅 𝑥 is:


Question 3
The marginal cost (in R100) of a product at a coffee shop is:

𝐶 𝑥 0.06𝑥 5
where x is the number of items produced.
The value of c in 𝐶 𝑥 𝐶 𝑥 𝑑𝑥 𝑐, if the cost to produce 10 items is R6500, is:


Question 4
The marginal cost function (in Rand) of the second hand dealer’s car wash section is:
𝐶 𝑥 100𝑥𝑒
If it is known that the overhead costs of the car wash section is R4500, the value of 𝑐 in
𝐶 𝑥 𝐶 𝑥 𝑑𝑥 𝑐 is:

Question 5
𝑥
𝑑𝑥
2𝑥 6