Proposer's Expected Payoff from an Offer

Using Expected Payoff to Decide on a Product Warranty

Expected Payoff from a Coin Toss Gift

General Calculation of Expected Payoff

A company is deciding whether to launch a new product. The marketing department provides the following analysis:

• If the launch is successful, the company will earn a profit of $5 million.
• If the launch fails, the company will incur a loss of $2 million.
• Based on market research, there is a 40% probability of success and a 60% probability of failure.

Assuming the company makes decisions based on maximizing the weighted average of all possible outcomes, what is the most rational course of action?

Investment Decision Analysis

Farmer's Planting Decision

A company is deciding between two mutually exclusive projects, Project X and Project Y. An initial analysis reveals that Project X has a significantly higher probability of success than Project Y. Based solely on this information, a rational, risk-neutral decision-maker should choose Project X to maximize their expected payoff.

A venture capitalist is evaluating four different startup investment opportunities. Match each opportunity, described by its potential outcomes and their probabilities, with its correct expected payoff.

A software company is considering adding a new feature. Market analysis suggests a 30% chance the feature will be a major success, generating $100,000 in profit; a 50% chance it will be moderately successful, generating $20,000 in profit; and a 20% chance it will fail, resulting in a loss of $40,000. The expected payoff of developing this feature is $____. (Enter a whole number without commas or dollar signs).

Critique of a Decision-Making Process

A manager needs to make a rational decision between two different investment strategies, where the final profit for each strategy is uncertain. Arrange the following steps into the correct logical sequence they should follow to determine the best strategy by comparing the weighted average of all possible results.

A firm is deciding between two mutually exclusive projects. Project A has a 70% chance of earning $10 million and a 30% chance of losing $5 million. Project B has a 40% chance of earning $20 million and a 60% chance of losing $6 million. The firm initially determines that Project A is the better choice by comparing the weighted average of all possible outcomes. Which of the following independent changes to the scenario would reverse this decision, making Project B the more rational choice?

Critique of a Business Expansion Analysis