A TV show costs $100,000 per episode for the first season and twice that much for every other season. The first season had 12 episodes, and every season after that had 50% more episodes except the last season, which had 24 episodes. The show had 5 seasons. How much did it cost to produce all the episodes? Give me reasons, before answering the question
The first season cost 12 * 100,000 = $1,200,000. Season 2 - 4 had 12 * .5 = 6 more episodes per season than the first. So they each had 12 + 6 = 18 episodes. That means there were 18 * 3 + 24 = 78 episodes in the last 4 seasons. So those episodes cost 2 * 100,000 = $200,000. For a total cost of 200,000 * 78 = $15,600,000. So the total cost was 15,600,000 + 1,200,000 = $16,800,000. So the final answer is 16800000.