Problem $1$: A manager has received an analysis of three cities being considered

for a new office complex $(10$ points is the maximum$),$ If the manager weighs the

Construction Cost factor twice more than each of the other two factors, how

would the locations compare?

Location

Factor A B C

Business services..... $955$

Construction cost...... $565$

Personal taxes........ $554$

Problem $2$: A clothing manufacturer produces women$$s clothes at four locations. A

coordinate system has been determined for these four locations as shown below. The

location of a central warehouse for rolls of cloth must now be determined. Weekly

quantities to be shipped to each location are shown below. Determine the coordinates

of the location that will minimize total transportation cost. $($Show the locations on

graph.$)$

Location $($x$,$ y$)$ Weekly Quantity

A $5,815$

B $6,920$

C $3,925$

D $9,430$