How much should be shipped from each facility to each location?

Solutions Plus is an industrial chemicals company that produces specialized cleaning ?uids 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 ?uid for locomotives. Great North American needs the cleaning ?uid at 11 locations (railway stations); it provided the following information to Solutions Plus regarding the number of gallons of cleaning ?uid required at each location (see Table 6.8):

Solutions Plus can produce the cleaning ?uid at its Cincinnati plant for $1.20 per gallon. Even though the Cincinnati location is its only plant, Solutions Plus has negotiated with an industrial chemicals company located in Oakland, California, to produce and ship

up to 50,000 gallons of the locomotive cleaning ?uid to selected Solutions Plus customer

locations. The Oakland company will charge Solutions Plus $1.65 per gallon to produce the cleaning ?uid, but Solutions Plus thinks that the lower shipping costs from Oakland to some customer locations may offset the added cost to produce the product.


Location Gallons Required Location Gallons Required

Santa Ana 22,418 Glendale 33,689

El Paso 6,800 Jacksonville 68,486

Pendleton 80,290 Little Rock 148,586

Houston 100,447 Bridgeport 111,475

Kansas City 241,570 Sacramento 112,000

Los Angeles 64,761


Cincinnati Oakland

Santa Ana — 0.22

El Paso 0.84 0.74

Pendleton 0.83 0.49

Houston 0.45 —

Kansas City 0.36 —

Los Angeles — 0.22

Glendale — 0.22

Jacksonville 0.34 —

Little Rock 0.34 —

Bridgeport 0.34 —

Sacramento — 0.15

The president of Solutions Plus, Charlie Weaver, contacted several trucking companies

to negotiate shipping rates between the two production facilities (Cincinnati and Oakland) and the locations where the railroad locomotives are cleaned. Table 6.9 shows the quotes received in terms of dollars per gallon. Theentries in Table 6.9 identify shipping routes that will not be considered because of the large distances involved. These quotes for shipping rates are guaranteed for one year.

To submit a bid to the railroad company, Solutions Plus must determine the price per

gallon they will charge. Solutions Plus usually sells its cleaning ?uids for 15% more than

its cost to produce and deliver the product. For this big contract, however, Fred Roedel, the director of marketing, suggested that maybe the company should consider a smaller pro?t margin. In addition, to ensure that if Solutions Plus wins the bid, they will have adequate capacity to satisfy existing orders as well as accept orders for other new business, the management team decided to limit the number of gallons of the locomotive cleaning ?uid produced in the Cincinnati plant to 500,000 gallons at most.

Managerial Report

You are asked to make recommendations that will help Solutions Plus prepare a bid. Your report should address, but not be limited to, the following issues:

1. If Solutions Plus wins the bid, which production facility (Cincinnati or Oakland)

should supply the cleaning ?uid to the locations where the railroad locomotives are

cleaned? How much should be shipped from each facility to each location?

2. What is the breakeven point for Solutions Plus? That is, how low can the company

go on its bid without losing money?

3. If Solutions Plus wants to use its standard 15% markup, how much should it bid?

I need the excel answer with all info and constraints. Please.

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