Scene \#1 Television Manufacturer -- Juárez, Mexico
Asymptote Swaggster broke into an international TV manufacturer and the inventory of unused cathode ray tubes was stolen. Investigators found this note in the parking lot.
Hello all! It's Swaggster here and I'm gonna perplex you with puzzles. While I'm stealing stuff I'm going to look for some rational mathematics. Just like this one I pulled off the CEO's desk.
GIGH ELECIRONFCH
Proposal: Add computer manufacturing to business. Build 650 computers as trial run.
Estimated Start-Up (Fixed) Costs: 250,000 pesos
Itemized Cost: each computer from scratch is 2,000 pesos.
Necessary Function: \( \bar{c}=\frac{(f \text { fixed cost })+c x}{x} \), where \( c \) is the cost of each item, \( x \) is the number of items produced and \( \bar{c} \) is the average total cost of each item,
Implementation Restrictions: We will only do this if the average total cost for each computer is under 2,400 pesos.
Scene \#2 Instituto Tecnologica de Costa Rica -- San José, Costa Rica
After a campus tour, Swaggster snuck away from the tour group and into the Department of Engineering. From there, they discovered the laser cutter was taken.
\( \frac{1}{6} \frac{2}{6} \quad 6 \frac{8}{x+1} \)
Isabella and Santiago graph functions on a calculator. Isabella
graphs \( \frac{6 x+2}{x-1} \) and Santiago graphs \( \frac{8}{x-1}+6 \). They both have vertical
asymptotes at \( x=1 \) and horizontal asymptotes at \( y=6 \). They
are confused. What is the correct explanation?
