4. In the answer to Demonstration Problem 4-2 in the text, we showed a situation in which a gift certificate leads a consumer to purchase a greater quantity of an inferior good than he or she would consume if given a cash gift of equal value. Is this always the case? Explain. 5. Provide an intuitive explanation for why a "buy one, get one free" deal is not the same as a "half-price" sale. 6. In the following figure, a consumer is initially in equilibrium at point C. The consumer's income is $400, and the budget line through point C is given by $400 = $100X + $200Y. When the consumer is given a $100 gift certificate that is good only at store X, she moves to a new equilibrium at point D. a. Determine the prices of goods X and Y. b. How many units of product Y could be purchased at point A? c. How many units of product X could be purchased at point E? d. How many units of product X could be purchased at point B? e. How many units of product X could be purchased at point F? f. Based on this consumer's preferences, rank bundles A, B, C, and D in order from most preferred to least preferred. g. Is product X a normal or an inferior good? Managerial Economics and Business Strategy Product Y A A C > Product X