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Walsh’s Juice Company

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Walsh’s Juice Company

Quantitative Analysis for Logistics and
Supply Chain Management Master of Management Instructor: M. Fazle Baki

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Section : 02
Group : 25

Mali Xiao 104206777
Xiaoqing Wu 104297171
Rui Song 104225442
Bo Sun 104132450
Jiaheng Li 104184794
Jin Pan 104214529

Executive Summary Walsh’s Juice Company produces three products from unprocessed grape juice—bottled juice, frozen juice, concentrate, and jelly. The company purchases unprocessed grape juice from three different vineyards and produce products in four other plants. The manager needs a model to help making decisions in both logistical and production process aspects. This problem contains 24 decision variables. The company’s objective is to minimize transportation cost from each vineyard to each plant, and the processing cost for each product in each plant. By using linear programming , we can get that Walsh’s Juice Company should deliver 1,400 tons of unprocessed juice from New York vineyard to Indiana plant, 1,100 tons from Pennsylvania vineyard to Michigan plant, 500 tons from Ohio vineyard to Virginia plant, 1,400 tons from Ohio vineyard to Tennessee plant. And they should produce 1,200 tons of juice, 900 tons of concentrate, 700 tons of jelly. By doing so, they can spend the minimum cost of $10,606,000.

Introduction Walsh’s Juice Company produces three products which are bottled juice, frozen juice concentrate, and jelly by using unprocessed grape juice which purchase them from New York, Pennsylvania and Ohio, then transported to four different plants in Virginia, Michigan, Tennessee, and Indiana. In a particular month unprocessed grape juice available for each vineyard is 1,400 tons(New York),1,100tons(Pennsylvania)and 1,700tons(Ohio).The processing capacity per month four different plants are 1,200tons(Virginia),

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