Solving gives x 3 or 3 3 to nd where f x g x

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: s the 3, 3 line x = 170 . To sketch a reasonable graph, we approximate the x-intercepts, (0.89, 0) and 3 (112.44, 0), and the vertex, (56.67, 4666.67). (Note that in order to get the x-intercepts and the vertex to show up in the same picture, we had to scale the x-axis differently than the y -axis. This results in the left-hand x-intercept and the y -intercept being uncomfortably close to each other and to the origin in the picture.) y 4000 3000 2000 1000 10 20 30 40 50 60 70 80 90 100 110 120 x 3. The zeros of P are the solutions to P (x) = 0, which we have found to be approximately 0.89 and 112.44. Since P represents the weekly profit, P (x) = 0 means the weekly profit is $0. Sometimes, these values of x are called the ‘break-even’ points of the profit function, since these are places where the revenue equals the cost; in other words we gave sold enough product to recover the cost spent to make the product. More importantly, we see from the graph that as long as x is between 0.89 and 112.44,...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online