The Atlantic Grocery chain operates in major metropolitan areas on the eastern seaboard. The stores have a €œno-frills€ approach, with low overhead and high volume. They generally buy their stock in volume at low prices. However, in some cases they actually buy stock at stores in other areas and ship it in. They can do this because of high prices in the cities they operate in compared with costs in other locations. One example is baby food. Atlantic purchases baby food at stores in Albany, Binghamton, Claremont, Dover, and Edison, and then trucks it to six stores in and around New York City. The stores in the outlying areas know what Atlantic is up to, so they limit the number of cases of baby food Atlantic can purchase. The following table shows the profit Altantic makes per case of baby food based on where the chain purchases it and which store it is sold at, plus the available baby food per week at purchase locations and the shelf space available at each Atlantic store per week:

Determine where Atlantic should purchase baby food and how the food should be distributed in order to maximizeprofit.

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Atlantic Store Purchase Location Albany Binghamton Claremont Dover Edison 2 3 4 5 6 9 8 11 12 7 826 10 10 8 6 9 7 40 8 6 6 57 4 20 4 6 9 58 10 40 12 10 89 67 45 Demand 25 15 30 18 27 35