If, then, we choose to say in such a case that the individual carries his expenditure along each line to the precise point at which the last or marginal utility enjoyed is precisely equal to the marginal utility on every other line, it seems not difficult to grasp what such a statement means. Quite harmlessly, all that it can mean is that the individual has planned precisely what he has planned and is not sorry for it, and for the time being does not think he can improve upon it. As there is one earth drawing toward its center each billiard ball of the dozen in equilibrium in a bowl, so there is behind the budget of the individual one complex personal conception of a way of life that fixes more or less certainly and clearly the kinds and intensities of his wants and assigns to each its share of purchasing power. That the units or elements in equilibrium hold their positions with reference to each other for reasons capable of separate statement for each unit seems a supposition no less impossible in the one case than in the other. To think of each kind of want in the individual's nature as holding separately in fee simple and clamoring for full and separate "satisfaction" in its separate kind, is the characteristic illusion of a purely formal type of analysis. The permanence of a budget and its carrying out no doubt require the due and precise realization of each plotted marginal utility--to go further than this along any one line would inevitably mean getting not so far along certain others, and thus a distorted and disappointing total attainment in the end. But to say that one actually plans and controls his expenditures along various lines by the ultimate aim of attaining equivalent terminal utilities on each is quite another story. It is much like saying that the square inches of canvas assigned in a picture to sky and sea and crannied wall are arranged upon the principle of identical and equal effects for artist or beholder from the last inches painted of each kind. The formula of the equality of marginal effects is no constructive principle; it is only a concise if indeed somewhat grotesque way of phrasing the essential fact that no change of the qualitative whole is going to be made, because no imperfection in it as a whole is felt.[52]