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The Ultimate Company operates five plants in Cicero, IL, Oshkosh, WI, Omaha, NE, Terre Haute, IN, & St. Charles, MN. The company ships products from

The Ultimate Company operates five plants in Cicero, IL, Oshkosh, WI, Omaha, NE, Terre Haute, IN, & St. Charles, MN. The company ships products from it plants to its distribution centers (DCs) in Lincoln, NE and Atlanta, GA. You are given the data below regarding plant capacities, annual fixed costs for the five plants (incurred only if the plant ships greater than 0 units), shipping cost per unit, and demand at each DC. Formulate a model to determine which plants to use to minimize total cost.

Shipping Cost/Unit to DC

Plant

Annual

Fixed Cost

Lincoln DC

Atlanta DC

Plant

Capacity

Cicero

$2,500,000

$6

$7

7,000

Oshkosh

$1,600,000

$8

$9

5,000

Omaha

$2,100,000

$13

$11

6,000

Terre Haute

$1,500,000

$7

$5

8,000

St. Charles

$900,000

$5

$14

6,150

DC Demand =

12,500

15,000

Decision Variables:

Objective Function:

Constraints:

Additional Work for Constraints:

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