Chapter 6.1, Problem 66E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Revenue** A company sells a seasonal product. The revenue *R* (in dollars) generated by sales of the product can be modeled by

*t* is the time in days.

(a) Find the average daily revenue during the first quarter, which is given by

(b) Find the average daily revenue during the fourth quarter, which is given by

(c) Find the total daily revenue during the year.

**(a)**

To determine

**To calculate:** The average daily revenue during the first quarter given by

Where *t* is the time in days.

Explanation

**Given Information:**

The company’s revenue in dollars is generated by sales of seasonal product is given by the function,

Where *t* is the time in days.

**Formula used:**

Integration by parts.

When *u* and *v* is assumed to be the differentiable functions of *x* then,

Also,

**Calculation:**

The company’s revenue in dollars is given by the function,

In order to calculate company’s revenue during the first quarter given by

Thus,

In order to obtain the value of the integral

**(b)**

To determine

**To calculate:** The average daily revenue during the fourth quarter given by

Where *t* is the time in days.

**(c)**

To determine

**To calculate:** The total daily revenue of company during the year when the company’s revenue in dollars is generated by sales of the product is given by the function,

Where *t* is the time in days.

Sect-6.1 P-1CPSect-6.1 P-2CPSect-6.1 P-3CPSect-6.1 P-4CPSect-6.1 P-5CPSect-6.1 P-6CPSect-6.1 P-7CPSect-6.1 P-1SWUSect-6.1 P-2SWUSect-6.1 P-3SWU

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