The 1998 film Armageddon had a production budget of $140 million. The domestic box office gross was about $200 million and the international box office gross was about $350 million. The studio considers a film a financial success if the worldwide( domestic plus international)gross is at least double the sum of production budget and the advertising budget. In millions of dollars what was the greatest advertising budget the film could have had to be considered a financial success?

Question

The 1998 film Armageddon had a production budget of $140 million. The domestic box office gross was about $200 million and the international box office gross was about $350 million. The studio considers a film a financial success if the worldwide( domestic plus international)gross is at least double the sum of production budget and the advertising budget. In millions of dollars what was the greatest advertising budget the film could have had to be considered a financial success?

Answer 1

350 + 200 = 550 million

140 + a < 225

Answer 2

To find the greatest advertising budget the film could have had to be considered a financial success, we need to compare the worldwide gross with the sum of the production budget and the advertising budget. Let's break down the given information and solve the problem step by step:

1. Given information:
- Production budget = $140 million
- Domestic box office gross = $200 million
- International box office gross = $350 million

2. Worldwide gross calculation:
- Worldwide gross = Domestic box office gross + International box office gross
- Worldwide gross = $200 million + $350 million
- Worldwide gross = $550 million

3. Studio's financial success condition:
- The studio considers a film a financial success if the worldwide gross is at least double the sum of production budget and advertising budget.
- Worldwide gross ≥ 2 * (Production budget + Advertising budget)

4. Finding the greatest advertising budget:
- Let's assume the advertising budget as 'x' million dollars.
- According to the condition, we can set up the equation:
$550 million ≥ 2 * ($140 million + 'x' million)
- Simplifying the equation:
$550 million ≥ 2 * $140 million + 2 * 'x' million
$550 million ≥ $280 million + 2 * 'x' million
$550 million - $280 million ≥ 2 * 'x' million
$270 million ≥ 2 * 'x' million
$270 million / 2 ≥ 'x' million
$135 million ≥ 'x' million

5. Answer:
- The greatest advertising budget the film could have had to be considered a financial success is $135 million.

Therefore, the film Armageddon could be considered a financial success as long as the advertising budget is no greater than $135 million.