   Chapter 2.4, Problem 85E

Chapter
Section
Textbook Problem

Box-Office Receipts The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function T ( x ) = 120 x 2 x 2 + 4 where T(x) is measured in millions of dollars and x is the number of months since the movie’s release. a. What are the total box-office receipts after the first month? The second month? The third month? b. What will the movie gross in the long run (when x is very large)?

(a)

To determine

To calculate: Total box office receipts after first, second and third month for the given function.

Explanation

Given:

The given function is T(x)=120x2x2+4. (1)

Where, T(x) is measured in millions of dollars and x is the number of months since the movie release.

Calculation:

To find the total box office receipt after first month, substitute 1 for x in equation (1).

T(1)=120(12)12+4=1205=24

Total box office receipt after first month is \$24 million.

To find the total box office receipt after second month, substitute 2 for x in equation (1)

(b)

To determine

To calculate: Movie gross in the long run for the given function.

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