The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000
people. However, they must sell at least 5,000 tickets to hold a concert. As an additional constraint, the number of lawn seats cannot exceed the number of reserved seats. If reserved seats profit $65 each and lawn seats profit $40 each, how many of each seat must they sell to maximize profit?
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This question reveals an intriguing pattern.
The rule or pattern to follow here is:
For the left side of the number compared to its predecessor: (First digit x Third digit + 1)
For the right side: (Second digit x Fourth digit -1)
For instance, consider 6447. Next, let's examine its previous number, 9876.
Now, and
that's how we arrived at 6447
Next, for the third number, 2527, let's look at its previous number, 6447
Now,
and
that's how we reached 2527
Following the same reasoning, the missing number should be 534.
This conclusion came from applying the rule of the pattern as:
and
Thus, we derived 534.