PartialMathematician

-2x = -2x simplifies to 0 = 0, which is always true. (The two -2x cancel out each other). You also have a reflexive property statement. 

idk...you have the friends here...

The problem does not tell us how much time or how many candles we can make, so I guess theoretically the maximum is \(\infty\) and the minimum is 0. 

If there was a restraint of time or whatever, for the number of candles \(n\), the maximum profit is: {selling price} - {making/producing price} * n. The minimum is $0, just don't make any candles. 

I'll probably feed the data into a computer program to determine the answer.

- PM

This is a really tedious number theory problem. I would probably try to find a pattern in the mod 1000 of the powers of 2, 3, 4, ect. Remember that any multiple of 10 to the power of 1000 (\(10^{1000}\), \(20^{1000}\), ect.) mod 1000 is 0, which means it can be divided by 1000. Other than that, I think there is just pure computations for this problem.

Yea, this makes more sense because we know that a candle costs $1.60 each. We also know the the cost of the brick. 

That's ok, I'll get someone else to answer this question if you need help. 

Also, you said, "Note* The price for the Brick candle is $10.00 with tax of 8.25% tax and without it %12.90 and the Egyptian candle is $14.00 with tax of 8.25% and without it $13.96." Is "without thing" the price or percent? I think you meant $12.90. 

Let's assume you meant, "Note* The price for the Brick candle is $10.00 with tax of 8.25% tax and without it $12.90." Without the 8.25% tax, the price is $12.90, which is more expensive than the price with tax, $10.

I am not sure I understand your question. Could you please elaborate more or give more information? 

No Problem, I try to help when I can!