What you should know
By the end of this subtopic, you should be able to:
prepare a decision tree and recommend a course of action for a business based on the results (AO4, AO3)
Case Study Practice:
The Doctrex laboratory has carried out research for new treatments for influenza. The researchers have identified three different programs (A, B and C) to develop a vaccination. The costs, probabilities and revenue of these programs are given in Table 1.
Construct a fully labelled decision tree. [4 marks]
Calculate the expected value (EV) of the three programs and recommend an option to follow based on this information. [2 marks]
Case Study Answer:
1. The decision tree should be drawn as follows:
Figure 6. Decision tree for programs A, B and C (with figures in thousands of $)
2. The expected values of the three programs are:
EV of program A: (6000 + 1400) – 2000 = $5400 (thousand)
EV of program B: (6800 + 2400) – 2600 = $6600 (thousand)
EV of program C: (4500 + 1400) – 2000 = $5600 (thousand)
The best option, considering only the quantitative estimated value, is B because it has the largest estimated value at $6 600 000.
Coffee Stop (CS) is a small cafe serving a variety of coffee drinks and healthy snacks. CS wants to increase its profits and is considering several options, as outlined below.
Option 1: Establish fair trade relationships with coffee farmers to better target ethical consumers.
Option 2: Buy a second coffee machine, that is either:
2a: the same type of manual machine that the cafe currently owns
2b: a new type of coffee machine that grinds and makes the coffee automatically, but still requires a person to operate
For both options 2a and 2b, the cafe would need to hire another employee, which would cost $75 000 over five years.
The probabilities, additional costs and additional revenues forecast for each option are given in Table 2. The costs and revenues are projected over a five-year period.
Table: Forecast additional costs, additional revenues and probabilities of each option for CS over five years.
Questions
Construct a fully labelled decision tree. [4 marks]
Calculate the expected value (EV) of the three options and recommend an option to follow based on this information. [2 marks]
https://docs.google.com/document/d/1wuPGaqFronKcg9S4XOQVri1o3oT7DclPTHTlvkp3nlA/edit?usp=sharing
Homework Answer
A decision tree, also called a probability tree, is a tool that helps businesses make decisions by putting an estimated value on various options. It is particularly useful when a business needs to choose between investment decisions.
(MUST INCLUDE OR LOSE 1 MARK)
A more complex decision tree has additional nodes and branches.
Example: Decision tree with multiple decision nodes:
Advantages and Disadvantages of the decision tree tool