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Mathematical Techniques - Functions

Unit: Quantitative Analysis

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Practice CPA Quantitative Analysis Mathematical Techniques - Functions questions with detailed answers and explanations.

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December 2025

 1 Questions
Question 1c
​ ​ ​​The total revenue function of producing product A is linear in nature. 

 Th following data shows the number of units of product A sold and the corresponding sales revenue in thousands of shillings:

Sales Revenue (Sh.“000”)2437.5
Number of units sold, Q5080

The total cost (TC) function is given as TC = 170Q + 5700 (in thousands in shillings.) 

Required: 
(i) Formulate the revenue function.

(ii) Determine the break even quantity of producing product A.

(iii) Determine the total profit when the number of units sold is 250 units. 


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December 2024

 2 Questions
Question 1b
​ ​ ​​Consider a company manufacturing a product with the following functions: 
 
Marginal revenue (Sh.“000”) = 50 - 4q 
Average costs (Sh.“000”)  = 5 - 16/q 
  
Required: 
(i) Formulate the profit function.    
 
(ii) Determine the quantity to be produced in order to maximise profit. 
 
(iii) Calculate the maximum profit.  


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Question 5a
​ ​ ​ ​​Describe FOUR applications of linear functions in business.


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December 2022

 1 Questions
Question 6a
​​Explain THREE roles of quantitative analysis in the decision making of organisations


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November 2020

 1 Questions
Question 1a
​ ​ ​​A potential investor in the production of a new type of organic fertilizer estimated the demand function of the product to be AR = 150 - Q

Where:
AR is the average revenue in thousands of shillings.
Q is the output in tonnes.

The investor estimated the variable cost (VC) per unit tonne associated with the production to be.
VC/tonne = Q - 285 in thousands of shillings.

The firm's cost when not producing any output is estimated at Sh. 8,750,000.

Required:
(i). The profit furiction.
(ii). The level of output that maximises profit.
(iii). The breakeven output


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December 2017

 1 Questions
Question 1a
​​Outline tour applications or mathematical functions in business. 


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May 2017

 1 Questions
Question 1a
​​Describe four types of sets as used in set theory.


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May 2016

 1 Questions
Question 2a
​​Distinguish between a "univariate function" and a "multivariate function".


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