Suppose that a population is broken up into the following sub-populations: adults at, juveniles jt, and infants it. Suppose that each of these subpopulations change from one time period to the next according to the following:

• 35% of the adults survive (and remain adults). The rest die.
• Every two adults produce one infant.
• 25% of the juveniles become adults. 40% remain juveniles. The rest die.
• 50% of the infants become juveniles. The rest die.

a) create the matrix diagram for this scenario

b) create the matrix equation for this scenario