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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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