Stitz-Zeager_College_Algebra_e-book

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

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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,...
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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.

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