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Decision Tree Calculations

Calculate and interpret decision-tree figures using probabilities, payoffs and expected values to compare choices, uncertainty, risk and outcomes.

Syllabus
First assessment 2019
Course
Business XBS11/YBS11
Level
A2

Exam points

  • Calculate expected values by multiplying outcomes by probabilities and summing the results.
  • Interpret expected values alongside risk, uncertainty, payoffs and qualitative business factors.

3.3.3.3b - Decision tree calculations question 1

[Maximum number: 20]

Source for use with Section B

Extract F

Tata Motors' tiny Nano proves large distraction

A decade on from the high-profile launch of Tata Motors' Nano, it sold just 94 units in December 2017, compared with an original prediction that monthly sales would be 20\,000 — and eventually reach 500\,000 annually. Sales of the vehicle once advertised as the group's new cash cow have been consistently poor, with production problems delaying the sale of Nano cars by a year. The Nano was also affected by Tata Motors' failure to establish a strong dealership network in rural areas, home to the majority of the car's target customers.

“Stopping the sales of the Nano would do a lot of good for Tata Motors' share price,” says analyst Arya Sen. Adding, “the Nano's biggest failure was the advertising in India. For many Indians, owning a car is a status symbol, and so cars have to be advertised in a premium way. Instead, Tata Motors advertised the Nano as being affordable and economical, which gave a poor image to the car.”

But Tata Motors' chief executive Guenther Butschek says no decision has been taken on the vehicle's fate, with the Indian group still keen to include a small vehicle in its product range, which is favoured by some drivers for its practicality in India's congested cities.

Decision Tree for the Nano

Extract F: Decision tree for the Nano

Extract F: Decision tree for the Nano

Using the data in Extract F and appropriate calculations, evaluate which is the best option for Tata Motors.

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