General Ford has two plants, two warehouses, and three customers. The locations of these as follows: Plants: Detroit and Atlanta; Warehouses: Denver and New York Customers: Los Angeles, Chicago, and Philadelphia Cars are produced at plants, then shipped to warehouses, and finally shipped to customers. Detroit can produce 142 cars per week, and Atlanta can produce 86 cars per week. Los Angeles requires 50 cars per week; Chicago, 52; and Philadelphia 84. It costs $9500 to produce a car in Detroit and $7500 to produce a car in Atlanta, and the costs of shipping a car between cities are given in the table below. What is the minimal cost of meeting General Ford's weekly demands?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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General Ford has two plants, two warehouses, and three customers. The locations of these as follows:

Plants: Detroit and Atlanta;
Warehouses: Denver and New York
Customers: Los Angeles, Chicago, and Philadelphia

Cars are produced at plants, then shipped to warehouses, and finally shipped to customers. Detroit can produce 142 cars per week, and Atlanta can produce 86 cars per week. Los Angeles requires 50 cars per week; Chicago, 52; and Philadelphia 84.

It costs $9500 to produce a car in Detroit and $7500 to produce a car in Atlanta, and the costs of shipping a car between cities are given in the table below.

What is the minimal cost of meeting General Ford's weekly demands?

To
L.A.
|Chicago
Philadelphia
|N.Y.
$1,158.00
$1,382.00
From
Denver
|Detroit
Atlanta
Denver
N.Y.
$516.00
$781.00
$1,029.00
$2,622.00
$939.00 $1,583.00
$729.00
$98.00
Transcribed Image Text:To L.A. |Chicago Philadelphia |N.Y. $1,158.00 $1,382.00 From Denver |Detroit Atlanta Denver N.Y. $516.00 $781.00 $1,029.00 $2,622.00 $939.00 $1,583.00 $729.00 $98.00
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