Lin Program
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Marc Smith’s construction firm currently has three projects under way in various counties of Iowa. Each requires a specific supply of gravel. Three gravel pits are available in Iowa to provide for Smith’s needs, but shipping costs differ from location to location. The table below summarizes the problem Smith faces. Determine the optimal shipping assignment so as to minimize total cost. From \ To
Dubuque pit Davenport pit Des Moines pit Job requirements (in tons)
Job 1 Job 2 Job 3 Tonnage Allowance $6
$8
$10
150
$7
$11
$11
175
$4
$5
$12
275
200
100
300
600
Dubuque pit Davenport pit Des Moines pit Job requirements (in tons)
Job 1 Job 2 Job 3 Tonnage Allowance $6
$8
$10
150
$7
$11
$11
175
$4
$5
$12
275
200
100
300
600
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