Vortex a leading manufacturer of kitchen appliances makes bo

Vortex, a leading manufacturer of kitchen appliances, makes both electric and gas ranges at seven plants. Due to an economic recession, the demand for both products has decreased substantially. Therefore, vortex is considering closing some of the plants. The table below provides the relevant information on the time required to make each product, the available time, the demand, and the annual savings if the plant is closed. If both of the plants in MO are closed then the Erie plant must also be closed. Formulate the LP model to determine which plants to close in order to maximize annual savings and still meet the demand requirements.

Plant Location (City, State)

1. Electric (minutes)

2. Gas (minutes)

Available

Hours

Annual

Savings

Alden, MO

55

60

1800

$3.2

Bage, IL

45

80

1600

$3.1

Caen, MO

65

70

1700

$3.0

Dali, IL

70

85

1900

$3.3

Erie, NY

45

90

1600

$3.6

Flint, PA

80

75

3000

$5.1

Gary, IN

60

70

1800

$3.3

Product Demand

4500

4000

Solution