Using the same analytical techniques as those developed in this chapter, develop a diagrammatic analysis of a matching grant with a maximum amount available. (Hint: when the maximum is reached, the rest of the budget line becomes vertical or horizontal.) How are the effects different from those of a simple matching grant? Does it depend on the size of the maximum? The shape/position of the indifference map? Are there circumstances in which the ceiling on available funds might have no effect on the mix of services provided?