The Total Worldwide Box-Office Receipts for a Long-Running Blockbuster Movie

question 154

Essay

The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function where is measured in millions of dollars and is the number of months since the movie's release.
What are the total box-office receipts after the first month? The second month? The third month? Round the answer to the nearest tenth, if necessary.
What will the movie gross in the long run (when is very large)?
$ __________ million

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Definitions:

All-Cash Policy

A business strategy in which transactions are conducted exclusively with cash, avoiding the use of credit.

Credit Period

The time frame allowed by a seller to a buyer to pay for goods or services received, usually expressed in days.

Operating Cycle

The duration of time it takes for a company to buy inventory, sell it, and convert the sale back into cash. It reflects the efficiency of a company's inventory management and sales processes.

Inventory Cycle

The inventory cycle involves the process from purchasing goods for inventory to selling them to customers, and is key in determining the efficiency of a company's inventory management.