Kelly Foods has two plants and ships canned vegetables to customers in four cities. The cost of shipping one case from a plant to a customer is given in the accompanying table. The plant in Akron has a capacity of 3,700 cases per week, and the Evansville plant can produce 4,200 cases per week. Customer orders for the next week are as follows: Chicago: 1,100 cases; Cincinnati: 1,900 cases; Indianapolis: 2,600 cases; Pittsburgh: 1,300 cases. Find the minimum-cost shipping plan. Click here to view the cost of shipping data. Complete the table below to indicate the number of cases sent from each plant to each customer to minimize the cost, and then give the total cost. (Type integers or decimals. Do not round.) Plant/Customer Chicago Akron Evansville Total cost = $ Cincinnati 1 Indianapolis Pittsburgh 8 8 Cost of Shipping Data Plant/Customer Chicago Akron $1.67 Evansville $1.93 Cincinnati $2.26 $2.32 Print Indianapolis $2.45 $1.64 Done Pittsburgh D $2.14 $2.92 X

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 61P
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Kelly Foods has two plants and ships canned vegetables to customers in four cities. The cost of shipping one case from a plant to a customer is given in the accompanying table. The plant in Akron has a capacity of 3,700 cases per week, and the Evansville plant can
produce 4,200 cases per week. Customer orders for the next week are as follows: Chicago: 1,100 cases; Cincinnati: 1,900 cases; Indianapolis: 2,600 cases; Pittsburgh: 1,300 cases. Find the minimum-cost shipping plan.
Click here to view the cost of shipping data.
Complete the table below to indicate the number of cases sent from each plant to each customer to minimize the cost, and then give the total cost.
(Type integers or decimals. Do not round.)
Chicago
Plant/Customer
Akron
Evansville
Total cost = $
||
Cincinnati
|
Indianapolis
||
■
Pittsburgh
8
||
Cost of Shipping Data
Plant/Customer Chicago
Akron
Evansville
$1.67
$1.93
Cincinnati
$2.26
$2.32
Print
Indianapolis Pittsburgh 0
$2.45
$2.14
$1.64
$2.92
Done
X
Transcribed Image Text:Kelly Foods has two plants and ships canned vegetables to customers in four cities. The cost of shipping one case from a plant to a customer is given in the accompanying table. The plant in Akron has a capacity of 3,700 cases per week, and the Evansville plant can produce 4,200 cases per week. Customer orders for the next week are as follows: Chicago: 1,100 cases; Cincinnati: 1,900 cases; Indianapolis: 2,600 cases; Pittsburgh: 1,300 cases. Find the minimum-cost shipping plan. Click here to view the cost of shipping data. Complete the table below to indicate the number of cases sent from each plant to each customer to minimize the cost, and then give the total cost. (Type integers or decimals. Do not round.) Chicago Plant/Customer Akron Evansville Total cost = $ || Cincinnati | Indianapolis || ■ Pittsburgh 8 || Cost of Shipping Data Plant/Customer Chicago Akron Evansville $1.67 $1.93 Cincinnati $2.26 $2.32 Print Indianapolis Pittsburgh 0 $2.45 $2.14 $1.64 $2.92 Done X
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