Steel Appliances, a manufacturer of high$-$quality refrigerators and cooking ranges, has one assembly factory located near Denver from which it has supplied the entire United States. Demand has grown, and Steel Appliances has decided to set up another factory to serve its eastern markets. Three parts plants that will supply the new assembly factory are located in Buffalo, New York, Memphis, Tennessee, and St$.$ Louis, Missouri. The new assembly factory will supply markets in Atlanta, Boston, Jacksonville, Philadelphia, and New York. $($The new factory will supply all of the demand for these markets. That is$,$ the original factory near Denver will no longer supply these markets.$)$ The unit transportation costs, quantities shipped, and coordinates of the parts plants and markets are shown in the following table.

Questions:

$1.$ Identify the coordinates for all eight cities and enter them in the provided Excel template $($columns B and C$).$ Use decimal degree coordinates.

$2.$ In Excel, compute the Euclidian distances between each city and the center of gravity $($column F$).$ For that you need to translate decimal degrees into miles. You will assume that $1$ degree of longitude is equal to $55$ miles and that $1$ degree of latitude is equal to $69$ miles.

$3.$ Compute the transportation costs between each city and the center of gravity $($Column G$)$

$4.$ Setup and run Excel Solver to determine the ideal coordinates of the new assembly factory that will minimize the transportation costs. Assume that Steel Appliances will be responsible for all the transportation costs from suppliers to the final customers.

$5.$ Based on question $4,$ in which city should Steel Alliance locate their new factory? For that you may use Google MapSteel$$Appliances$,\text{'}$a$$manufacturer$-$of$-$high$-$quality$-$refrigerators$-$and$$cooking$-$ranges, 'has$-$one$-$assembly$-$

Steel$-$Appliances$-$has$-$decided$-$to$-$set$-$up$-$another$-$factory$-$to$-$serve$-$its$-$eastern$-$markets.$-$Three$-$parts$-$plants.

Louis,$-$Missouri.$-$The$-$new$-$assembly$$factory$-$will$$supply$-$markets$-$in$$Atlanta$,$'Boston,$-$Jacksonville,

Philadelphia,'and$-$New$-$York.$-($The$-$new$-$factory$-$will$-$supply$-$all$-$of$-$the$-$demand$-$for$-$these$-$markets.$-$That$-$is$,$

the$-$original$-$factory$-$near$-$Denver$-$will$-$no$-$longer$-$supply$-$these$-$markets.$)-$The$-$unit$-$transportation$-$costs,

quantities$-$shipped, and$-$coordinates$-$of$-$the$-$parts$-$plants$-$and$-$markets$-$are$-$shown$-$in$-$the$-$following$-$table.$$

Questions:$-1$

Identify the coordinates for all eight cities and $-$ enter them in the provided$-$Excel template $($columns$-$B$-$

and$-$C$).$ Use$-$decimal$-$degree coordinates. $T$

In$-$Excel, compute the $-$Euclidian distances between each city and the center of gravity$-($column$-$F$).$ For$-$

that you need to translate$-$decimal degrees into miles. You$-$will$-$assume that $1-$degree of$-$longitude is equal$-$

to $55$ miles and that $1-$degree of latitude is equal to $69$ miles..

Compute the transportation costs between each city$-$and the center of gravity $($Column $*G$

Setup$-$and run$-$Excel$-$Solver$-$to determine the $-$ideal coordinates of the new assembly factory that will$-$

minimize the transportation costs. Assume that$-$Steel$-$Appliances $-$will$-$be responsible $-$for all the $-$

transportation costs from$-$suppliers to the final customers. uarr

Based$-$on$-$question$-4,$ in $-$which$-$city$-$should$-$Steel$-$Alliance$-$locate$-$their new$-$factory?$-$For$-$that you may$-$use$-$

Google$-$Map$$

I

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