Question

You are interviewing an applicant for a sales agent position in your company. Based on the company’s record, almost every company sales agent makes a total revenue of 150x-x² pesos for selling x products in a week. If the applicant confidently assures you that he/she can easily make ₱10,000 weekly revenue, how many products should he/she sell to meet this quota?

Answer 1

Using the revenue model for most company sales agents y = 150x - x^2, and the weekly revenue of $10,000 assured by the applicant, you get:

150x - x^2 = 10,000

From which you can solve for x:

x^2 - 150x + 10,000 = 0

When you use the quadratic equation you find that the equation does not have real solution driving to the conclusion that the agent is not tellling the true.