A Guide to Implementing the Theory of Constraints (TOC)

PowerPoints

Preface

Introduction

Site Map

Contents

Next Step

 

Bottom Line

Production

Supply Chain

Tool Box

Strategy

Projects

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Healthcare

 

Measurements

People

Process of Change

Agreement to Change

Evaluating Change

Leadership & Learning

 


Evaluating Change

When we set out to implement change we must remember that there are 3 possible outcomes.  These outcomes are;

(1)   A change which is a significant improvement.

(2)   A change which is neither a significant improvement nor a significant decline.

(3)   A change which is a significant decline.

Naturally enough, it is the first option that we are really seeking.  We want to make a difference, and we want that difference to be manifestly positive.  In order to do so, we must make decisions prior to carrying out the desired actions, and to be certain in the knowledge that those decisions will deliver the necessary results that we seek.

How we evaluate the improvement will depend upon the goal of the system.  If the goal is a monetary one, then the evaluation is relatively straightforward.  And that is what we will concentrate on here.  In not-for-profit, or more correctly, for-cause situations how we evaluate an improvement is a little more involved; however, if you look at the argument for healthcare (supply chain section) then you will find some good indications of how this can be achieved.

We are evaluating changes within the context of the whole system – or the system as a whole.  We are not interested in local improvements that do not have system-wide impact.  How, then, would we judge an impact in such a circumstance?  We need a context.  We already have one, let’s revisit it.

 
The Context

On the measurements page we derived our rules of engagement.  These tell us how to define the entity that we want to improve.  We define the boundaries, the goal, the necessary conditions, and the fundamental measurements.  Without these, we do not have a context within which to evaluate change.  Moreover, this forces us to determine what it is that constrains us from moving towards our goal; we have to define the role of the constraints.

The constraints are central to our ability to move forward.  In order to define the role of the constraints we need to invoke our plan of attack, the one we developed on the process of change page.  Of course, our plan of attack is Goldratt’s focusing process.  The second step of this plan, where we decide how to exploit the constraints, is the step that provides commonality between these two schemes.

We have previously summarized the relationship between the rules of engagement and the plan of attack as follows;

Rules of Engagement

Plan of Attack

(1)   Define the system.

 

(2)   Define the goal of the system.

 

(3)   Define the necessary conditions.

 

(4)   Define the fundamental measurements.

(1)   Identify the system’s constraints.

(5)   Define the role of the constraints.

(2)   Decide how to Exploit the system’s constraints.

 

(3)   Subordinate everything else to the above decisions.

 

(4)   Elevate the system’s constraints.

 

(5)   Go Back - Don’t Stop.

In order for a change to be an improvement it must either have a direct positive effect upon the current exploitation or elevation of the system’s constraints, or an indirect effect via improved subordination which in-turn ought to improve the exploitation or elevation, either now or in the future. 

To quantify these effects we must return to our fundamental measurements.

 
The Fundamental Measurements

In the first page, the page on measurements, we briefly introduced the concepts of; throughput, inventory/investment, and operating expense; a triumvirate set of measures for quantifying effects in Theory of Constraints.

Throughput as you may remember was described as;

Throughput  =  Sales - Totally Variable Costs

From this we came to define our net profit as;

Net Profit  =  Throughput - Operating Expense

And return-on-investment is;

It is through these 3 fundamental measures of; Throughput, Inventory/Investment, Operating Expense, and the two basic relationships of net profit and return-on-investment that we are able to evaluate change.

The reason that we can do so much with so little is because of the fundamental relationships that exist between each measure.  They are systemic.

Let’s try to reinforce the fundamental and systemic nature of these measures by way of analogy.  By this means we will be in a far stronger position to understand change and how to evaluate it.

The analogy is a see-saw.

 
The See-Saw Analogy

A see-saw!  How does the evaluation of change relate to a see-saw?  Well, let’s have a look.

Let’s draw a simple see-saw as a start.

In this simple example a lever – a plank – sits centered exactly across a fulcrum, therefore we have 1/2 of the plank on one side and 1/2 of the plank on the other.  We can quite easily balance two equal masses at either end of the plank.

The two equal masses – “people” are located equidistant from the mid-point of the plank, so let’s label that.

The mid-point is also the point of balance, so let’s add that as well.

Now; what if we move the plank along a bit?  What if we move the plank along so that it is now half way closer towards one end than the other, so that we have 3/4’s of the plank on one side and 1/4 on the other?  What would be the effect?

Let’s see.

The effect is that we can now balance 3 times the mass on the shorter end.  In effect we have gained some leverage.  And for the purists amongst us we have balanced the 3 masses over a pivot under the middle person on a secondary upper plank.  Both planks have been tested by applied mathematicians and deemed to have “no real mass,” so for the purposes of this analogy we can ignore the mass of the planks themselves.  It is only the leveraging ability that we are interested in.

Can we use this simple analogy of a see-saw for evaluating internal management decisions, change in other words?  In terms of physical aspects it is apparent that we seek to leverage inputs of some kind via a process of some sort in order to produce outputs.  In fact, the process does not exist in isolation but rather it exists in conjunction with a set of operating assumptions; the things that we call policies.  How then would this look using our model?  Let’s see.

Does this reflect reality?  I think so.  We use our physical process in conjunction with our operating policies to produce more output than input.

How then would our model look in terms of financial aspects?  In the terms of financial aspects it is apparent that we seek to leverage expenditure via investment to produce income.  Once again the investment does not exist in isolation but rather it exists in conjunction with a set of working assumptions; policies once again.  Let’s see how this looks.

When we buy a business (an investment) it consumes cash (expenditure) and produces even more cash (income) as a result.  We definitely leverage our expenditure via our investment.  This is why some businesses are described as “cash cows” and, equally, why some are not.  Of course the physical aspects and the financial aspects are just different views of the same system, simplified here by a one to one correspondence between physical and financial units – the masses that sit on the plank.

We need to ask then; will this simple analogy, a see-saw, also work as a description for evaluating change in Theory of Constraints?  Well, I think so, so let’s try.

From our cash expenditure we take all raw material or 1:1 variable costs out of contention to obtain our operating expense – that is, after all, how we define operating expense.  From our income we also take all raw material or 1:1 variable costs out of contention to obtain our throughput – again, this is how we define throughput.  The 1:1 variable costs are simply equal flows into the system as raw material and inputs, and equal flows out of the system as sales.  In essence then, we leverage our operating expense via our capital investment to produce throughput.  And, yes, we still have policies to guide us.

It seems then, that our analogy will hold for our fundamental measures.  Great.

Any change in throughput, or operating expense may change the balance of our system.  Do you agree?  Our analogy shows the interrelationships between these various aspects.

Do you want to push the analogy a little bit further?  What is our profit then?

Let’s have a look.

Throughput minus operating expense equals profit.  So now we know that our analogy will accommodate our definition of profit as well (call it operating surplus if you prefer).  So, in reality, we leverage our operating expense via our investment to produce a profit.

What about the balance point then?

The balance point is a measure of the leveragability that we have attained.  The greater the leveragability, the further the balance point will move along the plank towards the right in our model.

We know the location of the balance point, but this begs a question.  What is the fulcrum that we leverage across?

Let’s have a look.

The fulcrum is not a physical constraint, the fulcrum is time.  Take a breath; stop and think about it for a moment.

I know that all too often we loosely talk about leveraging the constraint – we have used that language throughout these webpages and it is probably ingrained.  But in reality we are leveraging our entire system over the fulcrum – time – and the only way that we can do that, either literally or metaphorically, is via the constraint.  So we leverage the system via the constraint for a given unit of time.

So, yet another question; what exactly is the constraint in our analogy then?

Well, it must be the seating capacity, or the seating spacing – different ways of saying the same thing.  Ultimately it is the length of the secondary plank which constitutes the constraint in our see-saw analogy.

Now that we have identified the constraint, how can we get more of this limiting factor?  How in our metaphor can we get more people sitting balanced on the right-hand side?  How can we improve the Throughput?  How can we improve the profit?  There are two answers to these questions, and they are that we can increase the productivity, and/or we can increase the production.  We need to tease these two strands apart in order to better understand each of them.  Let’s do that.

 
Productivity & Production

Making a distinction between productivity and production is important in understanding how to most effectively drive improvement, and such a distinction is also useful in developing our understanding of the dynamics of exploitation, subordination, and elevation.  Production is the simpler, and certainly more familiar of the two concepts, so let’s start with that.

Essentially any increase in production is a pro rata increase in both inputs (operating expense), and outputs (Throughput).  Let’s investigate this with our see-saw analogy.

Let’s start again with our original model with a balance point located 3/4 of the way along the plank.

Without moving the balance point we could double our throughput by doubling our operating expense.  Let’s do that.

Two units of operating expense now balance 6 units of throughput.  The initial ratio is preserved.  In fact, by doubling operating expense and doubling throughput, we must also double the profit at the same time.

In effect the increase in inputs (operating expense) drives the increase in outputs (throughput).  The leveragability of the system remains unchanged.  The fact that the balance point doesn’t change is a simple indication that we are dealing with increases in production rather than productivity.  In effect we elevate the existing system by bringing something new into the system – in this case new and additional expenditure as operating expense.  Of course there must be latent capability to do this.  In the real world this might equate to an additional shift as a simple example.

Increasing production, seductive as it is – after all this is what almost everybody else does – is nowhere near as sexy as improving productivity per se.  Moreover, if we were to go around doing what everyone else does then there is hardly any strategic advantage to be had at all.  So let’s investigate the impact of improving productivity; many people talk about increasing productivity but few actually manage to do it.  Doing it is not at all difficult if we have focus.

Rather than settling for a pro rata increase in both operating expense and throughput, which means constant productivity – only more of it, we actively seek to decouple throughput from operating expense, which in-turn means increased productivity.  Throughput should increase and ideally operating expense should remain static or even decrease; something other than additional operating expense drives the additional throughput.  It is the leveraging of the entire system via the constraint’s throughput relative to the fulcrum, time, that drives the additional throughput.  Let’s show this by example.

Let’s start again with our original model with a 3:1 ratio.

This time, instead of increasing operating expense, we will move the lever, and thus the balance point, even further to the left while maintaining the same operating expense.  Let’s halve the remaining distance between the fulcrum and the right-hand side so that we now have 7/8’s of the lever on one side and 1/8 on the other.  What do we get?  Let’s see.

Our single unit on the left, our operating expense, can now leverage against 7 units of throughput on the right.  Previously, by increasing production, we obtained 6 units of throughput for the cost of 2 units of operating expense.  Now, by increasing productivity, we get 7 units of throughput for the cost of just 1 unit of operating expense.  Our productivity has substantially increased and our throughput has become decoupled from the operating expense.

An increase in productivity will in-turn substantially increase profit.  Let’s have a look at that.

For no change in operating expense, but with better leverage of the existing system we can triple our profit!  If tripling the profit sounds fanciful, believe me, it is not!

We obtain better leverage by better exploitation of the constraint (the secondary plank becomes longer) and by better subordination of the non-constraints.  Often the simplest way to obtain an increase in leverage is to remove or modify some current policy.  Organizations abound with policy; that is, after all, one way in which to standardize matters, and without standardization there can be no base from which to improve.  But what if the standardization causes us to stagnate instead of improve?  Policy also allows us to react quickly without reinventing the wheel each time.  But what if we no longer need a particular reaction and yet we still have the policy?  Removal of outdated or inappropriate policy unblocks access to current capacity and increases productivity.

Now, if we are still bored with our newfound increase in productivity, then we can still increase our production after we have increased our productivity – given that our capacity allows for it.  It pays in more ways than one to increase relative productivity first, and then absolute production second, rather than the other way around.  Always aim for capability before capacity.

That is why the 5 focusing steps; our plan of attack goes; identify, exploit/subordinate, elevate – in that order.  Most firms go; identify, elevate – every time.  In fact that is unfair, most firms miss the identification stage and have a scatter gun approach of; elevate, elevate, elevate.  Hardly a wise use of cash, and a total absence of any systematic decision analysis.

In reality, often both productivity and production are inexorably mixed together, but we need to understand the dynamics of each component if we are to better understand how to correctly influence the whole – even if later on we can’t so neatly break the whole back into constituent parts as we have here.

It is apparent from the logic of this discussion that as the lever moves with respect to the fulcrum; the productivity, throughput, and hence profit, should trend towards infinity.  But we are getting ahead of ourselves.  None of us are making infinite profits yet (or if we are, then we certainly haven’t told Inland Revenue about it).  So, this begs a question.

Why aren’t we making infinite profits yet?  Well, a valid reason might be a finite capacity or capability of the current constraint; we are unable to move the balance point any closer to the end of the lever.  We can neither exploit the constraint nor subordinate the system any further, even though the demand is there?  What shall we do?

Well, why don’t we make the lever even longer?  Let’s have a look at a new aspect; investment.

 
The Effect Of A Financial Investment

In our analogy additional investment means that our lever becomes a little longer.  The effect of the investment in this instance is to both exploit & elevate the existing constraint or to better subordinate the non-constraints which in-turn exploits the constraint.  Let’s work from our current state where we have 7/8’s of the lever on one side and 1/8 on the other.  Here is our starting point.

Let’s have a look at an investment which improves the physical capacity or capability of our lever by an additional 2/8’s to meet a very real and existing, but previously unrealized, demand.

Our 8/8’s plank now becomes 10/8’s long, 9/8’s one on side of the fulcrum and 1/8 on the other side.  Now our unchanged operating expense can leverage against even more throughput than before.  We can produce an additional two units taking the total up to 9 units altogether!

The effect of the investment is to increase the physical leveragability of the system even though the absolute position of the balance point remains static.  Effectively we have increased the productivity of the system by capital investment.  This is interesting (to me).  Here we have both elevation (cash from outside the system was brought inside – even though it is not an increase in operating expense) and exploitation (the absolute position of the balance point did not change, but the position relative to the whole plank did change).  Alright, maybe that is pushing our metaphor about as far as it should go at the moment.

 
See-Saws & Equations

Let’s now return to the formulae that express the reality of these simple diagrams to further evaluate the situation.  We introduced 3 equations in the section on fundamental measurements, let’s repeat two of them here, one for throughput and one for profit (or operating surplus);

Throughput  =  Sales - Totally Variable Costs

and

Net Profit  =  Throughput - Operating Expense

Of course we can combine these into one statement

Net Profit  =  Sales - Totally Variable Costs - Operating Expense

However, let’s confine ourselves to the simpler version

Net Profit  =  Throughput - Operating Expense

And let’s compare this directly with the simplest of our see-saw analogies.  Here is the analogy.

Applying the equation we get,

Net Profit  =  3 Units of Throughput - 1 Unit of Operating Expense  =  2 Units

Just as we drew it,

And this brings us to an interesting “yes, but…”

 
How Do We Express The Fulcrum?

We can see that the fulcrum is represented in the diagrams and we can see that its positioning under the balance point is critical, and we know that it represents time, yet it seems to disappear from our equations.  Let’s clarify this issue.

The fulcrum is time – the one thing we don’t seem to be able to generate any additional quantity of, and time is present in our equations, but we seem to have been a little lax in making it explicit.  Really our equations should read as follows.

Throughput should be;

Net Profit should be;

So, it appears that the fulcrum is indeed there, we just didn’t make it clear enough.

And one again, if we combine these equations we get;

Thus, for any historic period it is easy to determine profit.  We just sum all of the sales and subtract all of the totally variable costs and then subtract all of the other costs that vary over the period – our operating expense.  There are no awards for doing this.  It’s historic; what is done is done.

We are more interested in evaluating change before we make the change.  We want to know the outcome of a potential decision before we take action to implement it as an actual decision.  And for this we need some critical information.

We need to be able to determine the Throughput through a unit of constraint capacity in relation to time.

This is the major decision analysis that we make.  We need to examine this in detail.

 
Determining Throughput At The Constraint

Let’s return to our original case for a moment.

When we looked at the physical aspects we found that we had 3 units of output and they each were equal to the weight of one adult.  In other words there is a one to one correspondence between the number of units and the physical output of the system.

Upon the improved leverage of the example above we found the following;

There is still a one to one correspondence between number of units of output and their weight.

But equally, we might also have found this;

3 of the adults have been substituted for by “children.”  We still have 7 units of output in total but the weight is now “lite.”

If we substituted children for all of the adults we could even have found this;

It appears that, within this analogy, the number of units of output from the constraint and the weight of that output no longer shares a one to one correspondence.  In every case we are making more output now than in the case of the 3 adult units that we began with, in fact in each case the number of units is 7, but the increase in weight is much less.

How can we know ahead of time what the outcome of these types of substitutions will be?  Graphically it seem obvious, we need to know the output value, the weight, for each type of output in this system relative to the unit constraint capacity.

Let’s show this.

At the constraint, one type of output unit, let’s call this a child, is half the weight of another type of output unit which we have called an adult.  We can directly compare one output with another by normalizing them at the constraint over some measure of time.

It is a simple step to move our analogy from output to throughput so that we can evaluate the financial aspects.  Let’s have a look.

 At the constraint, one type of throughput unit, a child, generates half the value of another type of throughput unit, an adult.  We can directly compare the throughput of one with another by normalizing them at the constraint over some measure of time.

 
T/cu Short-hand And Other Expressions of Constraint Units

We have produced a normalized throughput per unit of output as viewed from the perspective of the constraint.  But, we have nearly lost sight of our fulcrum (again).  What has happened to our measure of time?

Mention was made of the short-hand expression “T/cu” or Throughput per constraint unit earlier.  This short-hand is partially responsible for the apparent lack of time.  It is there, however.  The full expression should be “throughput per constraint unit per unit time,” or T/cu/t.

In our simple analogy our constraint unit is seating, and thus we would evaluate Throughput as Throughput $ per seat per ride.  “Seat” is the constraint unit, “ride” is the expression for time.

Let’s look at a few other general cases.  What about a sunshine factory?  And by that I mean an outdoor agricultural or horticultural enterprise.  The constraint unit here is available productive area, and the decision analysis becomes Throughput $ per acre or hectare per season or per year (T$/hectare/year).

What about an indoor retail operation?  Something that doesn’t make anything; just buys and sells.  The constraint unit here is again productive area, if might be square meters or square feet of floor space, or square meters or square feet of shelf space if there is a vertical component as well, and the decision analysis becomes Throughput $ per square meter per week or per month depending on the rate of turnover (T$/m2/week).  Supermarkets tend to use linear meters of “facing” assuming that we buy in proportion to what we see.  If the facing all has the same volume stacked behind it, then there would seem to be little difference in the various units.

Larger items in a sales system where a sale is concluded after a sales process, then the constraint should be the number of contact sales hours that the sales people have.  The decision analysis becomes Throughput $ per sales person per hour or day (T$/sales person/hour).

In manufacturing the constraint is most usually a machine or group of machines and this is the constraint unit, the unit of time is most commonly minutes because manufacturing steps are more commonly completed within minutes or hours rather than days.  The throughput decision analysis becomes Throughput $ per machine per minute (T$/machine/minute).  Some examples that I know of are people-paced rather than machine-paced and the throughput decision analysis becomes Throughput $ per man per hour (T$/man/hour).

What then of projects?  The constraint is the number of resources working on the critical chain.  The Throughput decision analysis becomes Throughput $ per critical chain person per project week or month (T$/critical chain person/month).

Remember these are decision analyses; the analysis of various choices before we embark on a decision.  Once we have made a commitment to the customer we can’t internally re-prioritize according these values.

With this new information under our belt, now, at least, we can predict the Throughput for the following case before we actually do it.

We have substituted 3 by $1 units of throughput with 3 by $0.5 units of throughput.  The total throughput is therefore $5.5, and not the $7 that we could potentially achieve.  The profit is now $4.5  and not $6 as before.  That’s $4.5 total profit per ride.

What about the other case?

Here we substituted 7 by $1 units of throughput with 7 by $0.5 units of throughput.  The total throughput is therefore $3.5, and not the $7 that we could potentially achieve.  This is still more than the $3 that we started with before we leveraged the system – but not by very much.  The profit is now $2.5, half a unit better than the $2 we had before,  but way short of the potential of $6 per ride.

Graphically this is just plain obvious, we can see, and we know from our own direct experience with see-saws.  But trust me, in most organizational systems this is anything but clear, and one good reason for this is that almost no one in most organizations has ever considered this before.

“We have to evaluate the impact, not of a product, but of a decision.  This evaluation must be done through the impact on the system’s constraints.  That’s why identifying the constraints is always the first step (1).”

We have to know where the constraint, is; and we have to know the Throughput value of the output with respect to that constraint.

So, anyone can work out the Throughput retrospectively for any period.  No one can evaluate the Throughput proactively for the current or future periods without explicit knowledge of the Throughput value generated with respect to the constraint.  In some instances this might be quite obvious; most often, however, it is not.  And when it is done there are most often some surprises in the relative ranking of the outputs.

This brings us to a very important point.

 
Change Just One Important Thing!

We all know from our own personal experiences with see-saws, that if we change just one important thing then the whole balance may change.  If we move the plank a little, or if someone gets on, or if someone gets off, or even it someone changes ends, then, so too, does the balance.  And so too, with our system under investigation.

We didn’t know previously that once we elevated this system that children might get on, or that adults might get off.  But every time we prepare to change the constraint that is exactly what we must evaluate for.  We must evaluate for the new mix that could arise.  If we think that we will elevate a constraint to the extent that we will break it (and thus a new constraint presents itself) then the unit throughput values, and thus the individual ranking, may also change and therefore maybe also our tactics for exploitation will change as well.

We must predict the outcome ahead of implementing the decision.  “You see, in the ‘cost world’ almost everything is important, thus changing one or two things doesn’t change the total picture much.  But this is not the case in the ‘throughput world.’  Here, very few things are really important.  Change one important thing and you must re-evaluate the entire situation (2).”

 
Evaluating Change – Internal Constraints

In internally constrained systems we can not satisfy market demand.  We can show this with our analogy?  Of course we can.  The beam is full, we could get other people on, if only they would fit.

Moreover, it implies that we may have a choice.  For instance we may choose to only allow high throughput members onto the see-saw as above.  In that case we may choose to avoid the following.  However, we may also choose to encourage it.

I say “may” because this depends upon our strategy and thus the consequent tactics – something that we shall leave for a little while yet.

We have, loosely speaking, begun to evaluate decisions about the composition of the physical output – the so-called production mix.  Now, there is almost nothing, either positive or negative, that a good production manager can not ascribe, in one way or another, to the changes in the production mix.  The production manager can do this without fear of contradiction because, in fact, almost no one else understands the true impact of the production mix – often not even the production manager!

But we do understand – only too well.

We do, because we know how to strip out all of the raw material costs or 1:1 variable costs in the production mix leaving us with the bare essentials – we could call this the throughput mix (3, 4).  Moreover, we know that we must evaluate the throughput mix in relation to one thing and one thing only, the amount of resource consumed to produce the throughput mix on the constraint.

Let’s therefore look at this in a little more detail.  We need to better delineate some aspects that are particularly important in internally constrained environments.  Maybe we should describe these as generic tactics.  We need to do this in order to later appreciate some of the subtle changes that occur in the tactics once a system becomes externally constrained.

It becomes part of the exploitation strategy of internally constrained systems to maximize the throughput mix by including, as much as possible, products that generate high throughput per unit time on the constraint; these are the adults of our analogy.  In shorthand we might describe these as high “T/cu” products, where “T” means throughput and “cu” means constraint unit.  We saw this aspect demonstrated so well in the P & Q analysis.

However, I want to introduce the word “grade” to describe this aspect of throughput mix.  We want to substitute, wherever possible, higher grade unit throughput for lower grade unit throughput.  We want to produce “stars” not “dogs” if the market will allow us – and it should.  The overall grade is a reflection of the average throughput per unit.

Moreover, let’s call the current market capacity “market volume” and the profit “cash flow.”  Let’s have a look at the relationships.

Equally we could have used “capability” instead of “grade,” and “capacity” instead of “volume.”  In fact we should say capability before capacity, which is like saying grade before volume, which is no different from exploitation before elevation.  Indeed, in many industries, grade before volume is well understood – except that here we have no choice, we are internally constrained, we are at the limit of our volume, grade is (almost) the only thing that we can alter.

And I would like to embellish this further – or at least make it easier for me to understand – by adding some “gauges” to this; a sort of metaphorical dashboard for our system.  And let’s assume for the moment that this is the view prior to implementing our new-found knowledge.

We have a gauge for cashflow or profit (throughput – operating expense), reading “poor” at the moment; solvent but not swimming in cash.  We have a gauge for grade, it reads “low’ at the moment because prior to identifying the constraint standard cost accounting will have skewed the money making potential in this direction.  And we have a gauge for market volume – also reading “low” because without proper exploitation and subordination people won’t even understand the real potential of the system.  Let’s add one more gauge to our dashboard.  Let’s add a “constraintometer” to monitor the relative capacity of our constraint.  It’s reading 80%; heavily used, but capable of more yet with some careful exploitation and subordination.

Therefore, let’s exploit this internally constrained system and see what happens.

Volume through the constraint increases significantly and approaches its current limit.  The cashflow as a consequence becomes somewhat better – but nothing to write home about.  Note, however, that our grade or rather average grade remains low.  The only way to increase cash flow in this configuration is to increase the grade, or the average Throughput mix.  Let’s have a look at this.