Mark;
Your question about having a certain amount of developing agent react with a certain amount of Silver Halide has caused generated some interest from others, and so I thought I might expand on this.
The answer is both yes and no. Hmmm, well it is true. You can write a balanced Redox equation in terms of standard Chemistry, but this does not take place due to the complexity of real life. Remember what I said about chemicals not knowing chemistry. They know what is real, and we write down what we expect. These often differ.
Lets take HQ for example. HQ + AgX > Q + Ag + HX (this is unbalanced, and I know it is - I am simplifying though) So, we write a simple equation, but HQ must be in the form 2H+ and Q= (Ionized HQ) before it really reacts and so the reaction is dependent on the ionization of HQ and therefore on pH. This alters the playing field. And, in the presence of sulfite, Q + SO3= gives HQMS (hydroquinone monosulfonate) which is a developing agent itself and thus there is a secondary reaction to consider. The rate again depends on the amount of Sulfite present and the pH.
Now, lets take a situation where we add some BTAZ antifoggant! This can completely stop the reaction of HQ with Silver Halide depending on level. It throws all equations out the window.
Then on top of this add Metol or PD and the reaction is now governed by superadditivity effects which itself is also governed by pH and in the case of PD by alkaline ring opening of the PD ring.
So, at EK, I never saw an attempt to give a value for this ratio outside of theoretical calculations with the added caveat that warned the reader about the above influences. To do a good job at this, you can only do one sure thing, and that is to establish the minimum amount of developing agent needed on a chemical basis using a balanced equation, and then you must recognize that you are going to need a lot more than that. You also need to consider the agent(s) used, the pH and other ingredients such as restrainers and Sulfite and you should also be aware of side reactions and superadditivity.
Just some thoughts to share with everyone. I am sure that my comments fall short of explaining the full complexity.
PE