Linear algebra matrices help please?

Posted on 2015-11-14 06:31:00 in Chemistry by SAAM

Harry is a toy maker. In his shop, he keeps some cash reserves,
a stockpile of rough lumber for making toys and some toys to be sold.
In an average month:

He spends one quarter of his cash to buy more wood, at $3 per board-foot (actually a volume measurement), takes home a quarter, and loses one third on overhead (lights, taxes, etc.). He uses half of his stockpile to make toys at roughly one toy per 2 board-feet (to be sold the following month), sells a quarter at $4 per board-foot to amateur woodworkers for carpentry classes he teaches, and loses one sixth to defects and damage. He sells half of his toys for $78 each, and the oldest one sixth of the toys are taken apart to recover roughly one-half board-foot of wood each.

a. Suppose he starts with $127, 10 board-feet, and 3 toys. (Hint! This vector was NOT randomly chosen.) In reality, he would need to adjust his operations fequently, but let’s suppose continues on this way indefinitely. Does he become rich? Go broke? Does he run out of wood or toys? How much money does he have after three years?

b. Suppose instead he starts with $292, 10 board-feet, and 24 toys. Now how much money does he have after three years? (This will require a calculator with inverse trig. functions.)

---

Answer Comment

No Answers Posted Yet.