Hell's Bells!

You're making this way harder than necessary. But it's kind of fun, so here we go:

I must be missing something. Help me walk through this. Here's the formula you give for determining the number I will enter into the 'credit limit" box:

X_{total} = X_{backrub} + (cilantro value as Oz.Ag)/2

Suppose hypothetically, that one backrub has the same value as one container of cilantro. Suppose I want to give a credit limit of one hour's worth of backrub and one hour's worth of cilantro. The formula should give me the number "2", for two hours total, right?

Yes. You should end up with a total of two hours. But if you've already converted the cilantro value to ShireHours, you could just add it directly and not mess with silver at all! So much for trying to simplify it through units of Ag.. no good deed goes unpunished.

You say that one ounce is worth two hours. So one hour is worth 1/2 ounce, correct?

I say that one ounce of silver is worth two ShireHours, and one ShireHour = 1/2 Oz. silver, correct.

If I convert the value of the cilantro from hours to ounces, and if one hour is worth 1/2 ounce, then one-hour of cilantro is worth 1/2 ounce, right?

OK, I follow you there <sinking 'got it backward' feeling>

Again, I'm adding one hour of each to get two hours. So converting the one-hour of cilantro to 1/2 ounce, I'm now adding one hour of backrub plus 1/2 ounce of cilantro.

There would actually be 1/2 a

**truckload** of cilantro.. but I think this is where I lost the cilantro scent!

The credit limit formula is:

X_{total} = X_{backrub} + (cilantro value as Oz.Ag)/2

In the right-most part of the forlmula you say to divide the ounce-value of the cilantro by 2. 1/2 divided by 2 is 1/4. Adding the 1/4 to the 1 for the backrub gives me 1 ^{1}/_{4} (1.25) not 2.

Obviously I'm missing something!

Nope, I think you schooled me on the subject of silver vs. cilantro. I was thinking of cilantro as a generally worthless, hated commodity,

*the weight of which* should be divided by two (or two hundred) to convert to ShireHours. When in fact, the cilantro value "as Ag" should be multiplied by two, not divided, to get to units of Shirehours. So that term should be (cilantro value as Ag)*2.

Parentheses still in the same place.