The Orcs were ruled by the horrendous Wladyslaw Spindleshanks - who was not only known for his strength but also his necromancing abilities. His army consisted of three types of Orcs: Battle-ready, wounded, and dead. On each day half of the battle-ready remained battle-ready while 20 % became wounded and the rest were killed. Wladyshaw’s half-brother Purrpurr was an amazing healer. Due to his abilities, he could make 35 % of the wounded battle-ready and the rest remained wounded. Lastly, Wladysaw’s powers allowed him to resurrect 40 % of the dead Orcs to become wounded. (a) Draw a flow diagram to illustrate the case. Be sure to label your diagram carefully. (b) Construct a transfer matrix based on (a) representing the three kinds of Orcs each day. (c) If there were 1000 battle-ready Orcs, to begin with, can you give the numbers of battle-ready Orcs for the next three days? Merlin Wisebeard is supposed to arrive with a band of wizards and help Ragnarr end the war on the fourth day, but till then he needs to know how many Orcs his men are against.
The Orcs were ruled by the horrendous Wladyslaw Spindleshanks - who was not only known for his strength but also his necromancing abilities. His army consisted of three types of Orcs: Battle-ready, wounded, and dead. On each day half of the battle-ready remained battle-ready while 20 % became wounded and the rest were killed. Wladyshaw’s half-brother Purrpurr was an amazing healer. Due to his abilities, he could make 35 % of the wounded battle-ready and the rest remained wounded. Lastly, Wladysaw’s powers allowed him to resurrect 40 % of the dead Orcs to become wounded.
(a) Draw a flow diagram to illustrate the case. Be sure to label your diagram carefully.
(b) Construct a transfer matrix based on (a) representing the three kinds of Orcs each day.
(c) If there were 1000 battle-ready Orcs, to begin with, can you give the numbers of battle-ready Orcs for the next three days? Merlin Wisebeard is supposed to arrive with a band of wizards and help Ragnarr end the war on the fourth day, but till then he needs to know how many Orcs his men are against.
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