Please have detailed explanation (Thanks in advance)

Consider the following consumption choices A, B, C, and D of good X and good Y. Y BL1 B D BL2 X a) A consumer chooses A when his budget line is Bly but B when his budget line is BL2. Using preference relation notations from the course, write five binary relationships between A, B, C, and D according to the consumer's revealed preference. (5 pts.) b) A consumer chooses C when his budget line is BL, but when his budget line is BL2. Using preference relation notations from the course, write five binary relationships between A, B, C, and D according to the consumer's revealed preference. (5 pts.) c) Explain why you do not expect a consumer to choose C when the consumer's budget line is Bly while he chooses B when the budget line is BL2. (5 pts.)