Final answer:
To represent the given preferences that a cup of tea is only enjoyable with exactly two sugar cubes, L-shaped indifference curves are used on a preference map with tea on the x-axis and sugar on the y-axis. This shape depicts a perfect complement scenario with a fixed consumption ratio between the two goods.
Step-by-step explanation:
An indifference curve illustrates a consumer's preferences for combinations of goods that provide equal levels of utility or satisfaction. To draw a preference map based on the statement "I only enjoy a cup of tea if I put two sugar cubes in it", with tea on the x-axis and sugar on the y-axis, one would draw a series of right-angled indifference curves. These curves would have a vertical section when there are two sugar cubes per cup of tea, reflecting the idea that any cup of tea is only preferred if it comes with exactly two sugar cubes, regardless of how many cups of tea are consumed. Utility only increases if the number of cups of tea increases while maintaining the two sugar cubes per cup condition.
The shape of the indifference curves would be reflective of the perfect complement situation in which two goods are only consumed in a fixed proportion. In this scenario, tea without exactly two sugar cubes and sugar without being in tea are not preferred. The indifference curves would be L-shaped instead of the typical convex to the origin because of the very specific preference for a fixed ratio between tea and sugar. As we move further from the origin, the L-shaped curves represent higher levels of utility, indicating that more cups of tea with the requisite two sugar cubes provide more satisfaction.