English: As can be seen, there are three possible points where the two indifference curves intersect the orange budget line. The utility maximizing bundles would occur at either x = 0 or y = 0 depending on the price of the goods and the consumer's preferences. As can be seen, these two bundles are on a higher indifference curve therefore will give the consumer greater utility than the bundle x = y. Therefore, the utility maximizing bundle of a maximum function is at either of the corner solutions.