Final answer:
An indifference curve for Nami's preference of sodas and pizza slices can be constructed by plotting the combinations of goods to which she is indifferent and connecting them with a smooth curve that typically bows inward.
Step-by-step explanation:
An indifference curve represents a set of choices that provide an equal level of utility or satisfaction to a consumer. In this case, we are constructing an indifference curve for Nami, who has preferences for how many sodas and pizza slices she would like to have. We can start this by plotting points that reflect the combinations she prefers equally. The original combinations are (2 sodas, 11 pizzas) and (14 sodas, 3 pizzas), representing two choices that bring equal happiness. From the given alternatives, we can add other points: A (9 sodas, 5 pizzas), which she would accept, B (3 sodas, 7 pizzas), which she would decline, and C (5 sodas, 6 pizzas), which leaves her indifferent.
To plot an indifference curve, you would draw a graph with sodas on one axis (for example, the x-axis) and pizza slices on the other axis (for example, the y-axis). Place the points representing each combination on this graph and then draw a smooth curve that connects them, showing all combinations to which Nami is indifferent. Keep in mind that an indifference curve typically bows inward, towards the origin of the graph, reflecting the consumer's decreasing marginal rate of substitution of one good for another.