Problem $1-$ Chapter $6$

Case Problem $1$ SOLUTIONS PLUS

Solutions Plus is an industrial chemicals company that produces specialized cleaning fluids and solvents for a wide variety of applications. Solutions Plus just received an invitation to submit a bid to supply Great North American railroad with a cleaning fluid for locomo$-$ tives. Great North American needs the cleaning fluid at $11$ locations $($railway stations$)$; it provided the following information to Solutions Plus regarding the number of gallons of cleaning fluid required at each location $($see Table $6\mathrm{.}8).$

Solutions Plus can produce the cleaning fluid at its Cincinnati plant for $$1\mathrm{.}20$ per gal$-$ lon. Even though the Cincinnati location is its only plant, Solutions Plus has negotiated

TABLE $6\mathrm{.}8$ GALLONS OF CLEANING FLUID REQUIRED AT EACH LOCATION

Location

Santa Ana

El Paso

Gallons Required

Location

Gallons Required

$22\mathrm{.}418$

Glendale Jacksonville

$33,689$

$6,800$

$68,486$

Pendleton

$80,290$

Little Rock

$148\mathrm{.}586$

Houston

$100,44724,570$

Bridgeport Sacramento

$111\mathrm{.}475$

Kansas City

$112,000$

Los Angeles

$64,761$