Suppose a group of ducks (known as a raft) are categorized into three life stages: eggs, hatchlings, ducks. Assume the number of each type can be modeled as follows: 30% of the eggs at t = n hatch into ducklings at t = n + 1 (assume the rest are non-viable), 50% of the ducklings at t = n become ducks at t = n + 1 (assume the rest do not survive), 80% of the ducks at t = n are still alive (and still ducks) at t = n + 1 (assume the rest do not survive), Each duck at t = n lays 5 eggs (which will be eggs at t = n + 1). Let en, hn, dn be the number eggs, hatchlings, and ducks at time t =n. Find formulas for en+1, hn+1, dn+1. Use to enter subscripts, so an would be typed "a_n" en+1 = hn+1 = dn+1 = Let T: (en, hn, dn) (en+1, hn+1, dn+1). =