Question

A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?

Answer 1

Answer:

The EMV of the project is $25,500.

Step-by-step explanation:

The EMV of the project is the Expected Money Value of the Project.

This value is given by the sum of each expected earning multiplied by each probability

So, in our problem

$EMV = P_{1} + P_{2} + P_{3}$

The problem states that the project has a 60% of super success earning $50,000. So

$P_{1} = 0.6*50,000 = 30,000$

The project has a 15% chance of mediocre success earning $20,000. So

$P_{2} = 0.15 * 20,000 = 3,000$

The project has a 25% probability of failure losing $30,000. So

$P_{3} = 0.25*(-30,000) = -7,500$

$EMV = P_{1} + P_{2} + P_{3} = 30,000 + 3,000 - 7,500 = 25,500$

The EMV of the project is $40,500.