Final answer:
To draw Mei's new budget constraint, plot two points on a graph and connect them to create a line.
Step-by-step explanation:
To draw Mei's new budget constraint, we need to consider her new monthly budget of $200 and her choices between dinners at a Chinese restaurant and nights at Zanzibar. Assume that going to Zanzibar still costs $20 and eating at the Chinese restaurant still costs $10.
If Mei spends two nights at Zanzibar and eats six times at the Chinese restaurant, she would spend a total of $140 ($20 x 2 + $10 x 6). This leaves her with $60 ($200 - $140) to allocate between the two activities.
To draw the new budget constraint, we can plot two points on a graph: (0,200) and (6,120). The x-axis represents the number of Chinese restaurant dinners and the y-axis represents the number of nights at Zanzibar. Connecting these two points gives us Mei's new budget constraint line.