Chapter 5.5, Problem 50E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Revenue** In Exercises 49 and 50, two models, *R*_{1} and R_{2}, are given for revenue (in billions of dollars) for a large corporation. Both models are estimates of revenues for 2020 through 2025, where *t* = 20 corresponds to 2020. Which model projects the greater revenue? How much more total revenue does that model project over the six-year period?

To determine

**To calculate:** The model which projects the greater revenue from two models of revenue

Explanation

**Given Information:**

Two models for revenue (in billions of dollars) for a large corporation are given as,

Two models are estimates of revenues for 2020 through 2025, where

**Formula used:**

Area of a region bounded by two graphs is calculated using the following formula,

If *f* and *g* are continuous on *x* in *f*, *g*,

**Calculation:**

Consider two revenue functions,

Consider the first function

It is a quadratic function. So, its graph will be a parabola with opening upwards. For the interval *y*-intercept,

So, the graph intersects the revenue axis at

Consider the second function

It is a quadratic function. So, its graph will be a parabola with opening upwards. For the interval *y*-intercept,

So, the graph intersects the revenue axis at

As two parabolas intersect the revenue axis at same point

Now, sketch the graph of two functions as follows:

From the graph, *t* in the interval

Thus, model

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