The ABC Company makes two products that can be produced on two different production lines. Both products have their lowest production costs when produced on the more modern of the two production lines. However, the modern production line does not have the capacity to handle the minimum production requirement. As a result, some production will have to be routed to the older production line. The following data show the production requirements, production line capacities, and production costs: Production cost/unit Old Modern Minimum Production Product Line Line requirements 1 P3.00 P5.00 500 units 2 P 2.50 P 4.00 700 units Production Line Capacities 800 600 How many units of product 2 is the maximum production requirement wherein the shadow price is yalid?

Practical Management Science
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The ABC Company makes two products that can be produced on two different production lines. Both
products have their lowest production costs when produced on the more modern of the two
production lines. However, the modern production line does not have the capacity to handle the
minimum production requirement. As a result, some production will have to be routed to the older
production line. The following data show the production requirements, production line capacities, and
production costs:
Production cost/unit
Modern
Old
Minimum Production
Product
Line
Line
requirements
500 units
P 5.00
P 4.00
1
P3.00
2
P 2.50
700 units
Production Line Capacities
800
600
How many units of product 2 is the maximum production requirement wherein the shadow price is
valid?
Transcribed Image Text:The ABC Company makes two products that can be produced on two different production lines. Both products have their lowest production costs when produced on the more modern of the two production lines. However, the modern production line does not have the capacity to handle the minimum production requirement. As a result, some production will have to be routed to the older production line. The following data show the production requirements, production line capacities, and production costs: Production cost/unit Modern Old Minimum Production Product Line Line requirements 500 units P 5.00 P 4.00 1 P3.00 2 P 2.50 700 units Production Line Capacities 800 600 How many units of product 2 is the maximum production requirement wherein the shadow price is valid?
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