Explanation of the egged(4, 8) example:

Year 1: Ronald starts with 3 chickens. Each chicken lays 300 eggs. So, the total = 3 * 300 = 900 eggs.

Year 2: The 3 chickens from Year 1 are still alive and now lay 240 eggs each (300 - 20%). Ronald also buys 3 new chickens that lay 300 eggs each. So, the total = (3 * 240) + (3 * 300) = 720 + 900 = 1620 eggs.

Year 3: The 3 chickens from Year 1 now lay 192 eggs each (240 - 20%). The 3 chickens from Year 2 lay 240 eggs each, and Ronald buys 3 new chickens that lay 300 eggs each. So, the total = (3 * 192) + (3 * 240) + (3 * 300) = 576 + 720 + 900 = 2196 eggs.

Year 4: The 3 chickens from Year 1 now lay 153 eggs each (192 - 20%). The 3 chickens from Year 2 lay 192 eggs each, the 3 chickens from Year 3 lay 240 eggs each, and Ronald buys 3 new chickens that lay 300 eggs each. So, the total = (3 * 153) + (3 * 192) + (3 * 240) + (3 * 300) = 459 + 576 + 720 + 900 = 2655 eggs.

Explanation of the egged(2, 1) example:

Year 1: Ronald has his initial 3 chickens. Each chicken lays 300 eggs. So, the total = 3 * 300 = 900 eggs.

Year 2: The chickens from the first year have already died (since their lifespan is 1 year).