[*ax2+ bx + c=0 x=-b±(√b2-4ac)/2a The full solution of this general problem of the second degree can be found in any textbook of primary algebra. The Author]
"Exactly. Let's set up the general case of a production-consumption cycle under the rules of your period and work out a few problems. Then perhaps we shall see the principles involved and be able to state a general solution which will answer all our questions about economics."
Perry scratched his head. "Look. That's all very well in simple algebra like quadratic equations, but in economics we deal with an indefinite number of unknowns and too many factors. How can we possibly do this?"
"We'll cross that bridge when we come to it. All special cases in the actual world are complex, it is true, even in quadratic equations. But the general case may turn out to have pleasing simplicity. Let's try to formulate it, and see. Have you pen and paper? Let's write down our elements. What are they?"
Perry thought. "A factory."
"Yes."
"The entrepreneur or industrialist."
"Go ahead."
"Raw materials, and labor, and land."
"Continue."
"Consumers."
"That is right, but who are they?"
"Everybody. All of the public."
Davis nodded. "True, but this is the general case. What does that imply?" Perry looked puzzled. "I'll tell you, then. The consumers are the people you mention plus their dependents, and no others. Even retired people enter the picture as capitalists or dependents, as well as consumers."
"Yes, I think I see that."
"Each individual has a dual role, appearing both on the production side and on the consumption side. Even a child appears as a producer through his father and appears as a consumer of goods purchased by his parents. We can disregard dependents from here on as they are represented economically by the head of the family."
"How does a widow living on insurance appear in the set up?"
"As a consumer of earlier production of the deceased head of a family. We'll take that case up later when we are ready to deal with it. Let's get on with our set up. What else do we need?"
"A bank or banks."
"Yes, and bankers, stockholders, bank clerks, and so forth. Will you let me lump them together as a bank and a banker, remembering of course the collective nature of the terms?"
"Okay, I guess."
"Very well, then. Do we need anything else?"
"Not that I can think of."
"Was the United States an anarchy ?"
"No, of course not."
"Then we have the government, and all of the subdivisions of government, public servants, taxes, and laws, and the government as a consumer."
"This grows complicated."
"Not too complicated. Let's represent government, and all subdivisions, as 'US', which you can think of as 'United States' or as 'us', for in the United States the government is everybody taken collectively. Public servants work for 'US'. Now do we have all elements?"
"How about farmers and professional men? They are certainly consumers."
"Yes, that's true. The case of the farmer is simple. Economically speaking, he produces in the same fashion as the factory owner, using the same elements; labor, raw material, land, enterprise, and so forth. If he employs no labor but himself and his family, 'profit' should appear as a large item in cost, and labor wages as zero. It becomes simply a special case under the general case. The professional man appears as a different type of laborer when he is hired by a production unit, for example corporation lawyers. Professional men serving the consuming public directly appear in the production-consumption chain in a one-to-one relationship of transfer without destruction of purchasing power. When you pay a medical man ten dollars for advice, your potential power to purchase and consume doughnuts or automobiles is reduced ten dollars and that of the doctor is increased by ten dollars. There is another element we have not named however. Can you guess it?"
"Mmmmmn—no, I'm afraid not. It seems to me we've covered the—Wait a moment. Technique! Knowledge."
"Exactly. Most knowledge is free to all of us. But some things are patented or copyrighted. Let's call the owners of techniques inventors. Now we are ready to roll. If we set up our hypothetical domestic economy so that it is structurally similar in every way to the economy of your period, it should work like your period. If we change the man-made laws to those of this present period, it will work like this present period. The natural laws involved remain the same structurally. If we can distinguish between man-made rules and natural necessity, we will know what we can and what we can't do with an economic system."
"How can we make any such complicated set up in our heads and be sure that it will work out in practice, Master Davis?"
"I shan't ask you to carry all of the moving elements of a complicated function in your head. Let's make a model. I see a set of chess men over there. May I use them? They will do nicely for people. Now have you anything I can use for counters?" Perry rummaged around and produced a box of poker chips. "Gaming chips? That's fine. Now we need something to represent the goods we are to produce and consume. What do you suggest? I'll need a number of units, a hundred or more."
"How about a box of crackers?" suggested Perry.
"A happy thought. Distinctly consumption goods. But we would get crumbs all over the table and they are rather bulky. Do you have any playing cards?"
"Surely." Perry arose and returned with them. "Here are a couple of packs."
"Very well. Let each card represent one unit of production of equal value. They represent all sorts of items; clothing, food, air cars, games, stereo records, books, and so forth. For convenience we split them up into equal-valued units. Now take the chess men and give them their functions. The black king is our entrepreneur, industrialist, or farmer." Davis wrote this on a slip of paper and tucked it under the base of the black king. "There. We will know him when we see him.
"You will notice that his tag reads 'Entrepreneur-Consumer' to remind us of his dual function. The black queen is his wife. Place her with him. Put a pawn with them as their children. Now another pawn for her father who is dependent on them. He's a crusty old gentleman who hasn't worked since McKinley was shot and thinks the country is going to hell. The white king is the banker. We'll write a tag for him, 'Banker-Consumer'. This box you keep the chess men in will do as a bank, and this book can be a factory. Put tags on them, but don't place the factory on the table yet. It has not yet been built. The black bishop owns the land on which the factory is to rest. He must first be satisfied. The white castle owns a process to be used in our manufacture of playing cards. Now take five or six pawns and mark them 'Laborers-Consumers'. Mark the black horses 'Owners of Raw Materials-Consumers'. Take the white bishops and mark them 'Government Employees-Consumers'. Take a separate tag and mark it 'US' but don't place a chessman on it, as we must not personify the government. 'US' is all of us, acting collectively.*
[*The reader is urged to make this set up and play it through as he reads. Otherwise the value of the demonstration will be lost. If chessmen are not available; bottles of ink, spools, tin soldiers, and so forth, will serve. Beans, dominoes, or marbles will serve as counters. The Author]
"Now we are ready to run through a typical economic cycle. Call it one eon in length and let it be the time from the building of the factory until it is depreciated in value to zero and is obsolete. Something around twenty years if you must think in definite terms, but it isn't necessary to do so. Suppose you identify yourself with the entrepreneur, Perry, and I'll play the other pieces. You see a demand for playing cards and determine to manufacture them. You have your eye on a suitable site which you can lease at a reasonable price, and you know of a new process that you can buy up. But you haven't the working capital, all of your wealth being tied up in tangible property which you don't want to liquidate. So you go to the banker and ask for a loan of a hundred shekels. You explain your idea and offer security worth quite a bit more than a hundred shekels. From where we sit we see that the bank contains only twenty shekels, the capital reserve required by law. One might think that the banker would say, 'Sorry, Old man. You've got a sound proposition and I'd like to accommodate you, but there isn't that much money in the bank.' But he says nothing of the sort; he lends you the money. How does he do it? You give him a promissory note saying: