Chloe makes $500 per week and spends all her income on books and tea. Books cost $25 each, and Chloe buys 16 each week. Tea costs $5 per cup, and Chloe buys 20 cups. When Chloe’s income falls to $450 per week, she cuts her consumption of books by 3 books and purchases 5 more cups of tea. Based on these figures, indicate whether each of the following statements is true or false, and briefly explain your reasoning.

a. Books are an inferior good.

b. Tea is a necessity.

c. Books are a luxury good and tea is an inferior good.