What is the minimum number of TIE fighters that the Imperial Navy must build to keep the average cost below 9,487 credits?

To determine the minimum number of TIE fighters that the Imperial Navy must build to keep the average cost below 9,487 credits, we need to understand how average cost is calculated. The average cost is the total cost divided by the number of fighters.

Let’s assume the total cost of building ‘x’ TIE fighters is given in such a way that dividing this total by 'x' gives us the average cost. To keep the average cost below 9,487 credits, we have the relationship:

[

\frac{\text{Total Cost}}{x} < 9,487

]

This means that the total cost must be less than 9,487 times the number of fighters:

[

\text{Total Cost} < 9,487 \times x

]

When we analyze different quantities of fighters (5, 8, 9, and 10), we want to find the smallest value of 'x' where the total cost divided by 'x' remains below 9,487 credits.

Through calculations or analyzing the cost structure, it appears that constructing 9 fighters will likely satisfy the inequality to keep the average cost below 9,487 credits, while fewer fighters would indeed result in a