A Manufacturer of Cat Towers Wishes to Locate a Super

question 75

Multiple Choice

A manufacturer of cat towers wishes to locate a super assembly facility to meet their cat tower assembly needs for the next millennium.Currently,carpet,cylinders,yarn and fasteners are purchased in bulk from suppliers in North Haverbrook,Ogden,and Springfield in the quantities shown in the table.The super assembly facility would ship to distribution centers located in Seattle,Lubbock,Nashville,and Philadelphia.The locations of all of these cities on an x-y grid,outbound transportation costs on a ton per mile basis,and total tonnage are all contained in the table. $$\begin{array} { | l | c | c | c | c | } \hline \text { Sources/Markets } & \begin{array} { c } \text { Transportation Cost } \\\$ \text { /ton mile } \left( F _ { \mathrm { n } } \right) \end{array} & \begin{array} { c } \text { Quantity in } \\\text { Tons } \left( \mathrm { D } _ { \mathrm { n } } \right) \end{array} & \mathrm { X } _ { \mathrm { n } } & \mathrm { Y } _ { \mathrm { n } } \\\hline \text { Supply } & & & & \\\hline \text { North Haverbrook } & 1.1 & 650 & 700 & 1200 \\\hline \text { Ogden } & 1.2 & 450 & 250 & 600 \\\hline \text { Springfield } & 1.4 & 400 & 225 & 825 \\\hline \text { Market } & & & & \\\hline \text { Seattle } & 2.25 & 300 & 50 & 1200 \\\hline \text { Lubbock } & 2.25 & 200 & 450 & 300 \\\hline \text { Nashville } & 2.25 & 500 & 800 & 250 \\\hline \text { Philadelphia } & 2.25 & 500 & 950 & 1100 \\\hline\end{array}$$ What is the optimal location for the Super Assembly Center?

• A)(550,808)
• B)(513,772)
• C)(526,795)
• D)(538,784)

---

Definitions:

Gifted Children

Children who demonstrate outstanding levels of aptitude or competence in one or more domains at a level significantly beyond their age peers.

Intelligence

The skill to assimilate learning from life events, tackle challenges, and utilize wisdom to conform to novel conditions.

Health

A state of complete physical, mental, and social well-being, and not merely the absence of disease or infirmity.

Longevity

The duration of an individual's life or existence, often referenced in studies concerning aging and lifespan extension.