Master STK120 with Confidence! Stressed about acing your STK120 exams and tests? We've got the ultimate study pack to boost your understanding and exam performance. Our comprehensive collection of past STK120 tutorial papers and detailed memos provides valuable insights into exam format, key c...
e) 𝑓 𝑥 √𝑥 2𝑥 1
f) 𝑓 𝑥
g) 𝑓 𝑥 ln 5𝑥 3
h) 𝑓 𝑥 𝑒
i) Calculate the second order derivative of 1(h)
Question 2 (TUT 8A)
The cost function (in R1000) of a company is given by:
1
𝐶 𝑥 𝑥 2𝑥 3𝑥 20
3
with 𝑥 production (in 100 units).
a) Calculate the average rate of change when production increases from 300 to 600.
b) Calculate and interpret the instantaneous rate of change when 𝑥 4.
Question 3 (TUT 8A)
The demand for Nike trainers (in 100) in terms of its price (in R1000) is given by:
ln 𝑝
𝐷 𝑝
𝑝
where 𝑝 is price (in R1000) and 𝐷 is demand.
a) What is the units in which the income function will be measured?
b) Calculate the marginal demand function.
Question 4 (TUT 8A)
The demand function for cold drink is given by: 𝐷 𝑝 900 𝑝𝑙𝑛𝑝 where 𝑝 is the price
(in Rand) and 𝐷 𝑝 the demand in thousands. Calculate the marginal income when 𝑝 4.
Question 5 (TUT 8A)
The demand of a tin of cold drink at Cofi-on-Campus is given by the function:
.
𝐷 650𝑝𝑒
where D is the demand (in 1000) and p the price in Rand.
a. The marginal rate of change in the demand of the cold drink can be calculated by:
b. Calculate the marginal income function of a tin of cold drink.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller thembisilemagudulela. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.97. You're not tied to anything after your purchase.
