ABC Products Produces Three Products (A, B and C) on Three

question 16

Essay

ABC Products produces three products (A, B and C) on three machines.Machines 1 and 2 are available for 40 hours a week and Machine 3 is available for 60 hours a week.Profit contribution and standard production time in hours are given in the following table:
Only one operator per machine is required on Machines #1 and #2.Two operators are required for Machine #3.Therefore, two hours of labor must be scheduled for each hour of Machine #3's time.To restate this requirement, two operators must be scheduled for each hour of Machine #3's operation, as well as one operator for each hour of Machine #1's operation and one operator for each hour of Machine #2's operation.A total of 110 labor hours is available for assignment to the three machines during the coming week.Other production requirements are that Product A cannot account for more than 40% of the units produced and that Product C must account for at least 25% of the units produced.
a.Develop the constraint for the capacity limit of Machine #1.
b.Develop the constraint for the capacity limit of Machine #3.
c.Develop the constraint for the labor capacity limit.
d.Develop the constraint for limiting Product A to no more than 40% of the units produced.
e.Develop the constraint that ensures Product C accounts for at least 25% of the units produced.

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Definitions:

Common Bile Duct

A tube that carries bile from the liver and gallbladder into the duodenum, part of the small intestine.

Pancreatic Duct

A tube in the pancreas through which pancreatic juices flow into the small intestine.

Pancreatic Juice

A digestive fluid secreted by the pancreas containing enzymes that assist in the digestion of proteins, fats, and carbohydrates.

Canines

The sharp, pointed teeth next to the incisors in mammals that are often used for biting and tearing food.