Kos Farms processes organic heirloom vegetables from its four processing plants where the vegetables are cleaned and packaged to its four warehouses. The following two tables show the capacities, forecasted demand, and processing and shipping costs.   Determine how many cases should be shipped from each processing plant to each warehouse to minimize the total processing and shipping costs.

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
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Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Kos Farms processes organic heirloom vegetables from its four processing plants where the vegetables are cleaned and packaged to its four warehouses. The following two tables show the capacities, forecasted demand, and processing and shipping costs.

 

Determine how many cases should be shipped from each processing plant to each warehouse to minimize the total processing and shipping costs.

Capacity (Cases/week)
Warehouse
Demand (Cases/week)
9,000
7,000
6,000
Plant
Milwaukee
9,000
7,000
8,000
5,000
Denver
Chicago
Lincoln
Toledo
Pitts burgh
Nashville
Atlanta
8,000
29,000
30,000
Processing & Shipping Cost per Case
Pittsburgh
Plant
Denver
Lincoln
Atlanta
Milwaukee
$4.00
$3.00
$7.00
$12.00
Chicago
$5.00
$4.00
$5.00
$10.00
Toledo
$10.00
$8.00
$2.00
$7.00
Nashville
$11.00
$8.00
$4.00
$5.00
Transcribed Image Text:Capacity (Cases/week) Warehouse Demand (Cases/week) 9,000 7,000 6,000 Plant Milwaukee 9,000 7,000 8,000 5,000 Denver Chicago Lincoln Toledo Pitts burgh Nashville Atlanta 8,000 29,000 30,000 Processing & Shipping Cost per Case Pittsburgh Plant Denver Lincoln Atlanta Milwaukee $4.00 $3.00 $7.00 $12.00 Chicago $5.00 $4.00 $5.00 $10.00 Toledo $10.00 $8.00 $2.00 $7.00 Nashville $11.00 $8.00 $4.00 $5.00
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