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A company produces two products, A and B, that go through a three-step sequence of fabrication, assembly, and packaging. Processing requirements for the departments (hours per unit) are: Product Fabrication Assembly PackagingA 1.0 1.0 2.0B 1.5 2.0 1.0Department capacities are all 7 hours per day. The following production schedule is for the next three days: Day Mon Tues WedA 2 2 1B 4 1 1a. Develop, for each department and day, the capacity requirements for each product and the total load for each day. Ignore changeover time between A and B. Evaluate the projected loads for each day. (Round the final answers to 1 decimal place.) Job   Fabrication   Assembly   PackagingStart Day Product Labor   Labor   LaborMon A                  B                                                        Tue A                  B                                                        Wed A                  B                                           b. Is the schedule feasible?multiple choiceNoYes

Question

A company produces two products, A and B, that go through a three-step sequence of fabrication, assembly, and packaging. Processing requirements for the departments (hours per unit) are: Product Fabrication Assembly PackagingA 1.0 1.0 2.0B 1.5 2.0 1.0Department capacities are all 7 hours per day. The following production schedule is for the next three days: Day Mon Tues WedA 2 2 1B 4 1 1a. Develop, for each department and day, the capacity requirements for each product and the total load for each day. Ignore changeover time between A and B. Evaluate the projected loads for each day. (Round the final answers to 1 decimal place.) Job   Fabrication   Assembly   PackagingStart Day Product Labor   Labor   LaborMon A                  B                                                        Tue A                  B                                                        Wed A                  B                                           b. Is the schedule feasible?multiple choiceNoYes

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Solution

a. To calculate the capacity requirements for each product and the total load for each day, we need to multiply the number of units produced each day by the hours per unit required for each process.

For Monday:

  • Product A: Fabrication = 2 units * 1.0 hours/unit = 2.0 hours, Assembly = 2 units * 1.0 hours/unit = 2.0 hours, Packaging = 2 units * 2.0 hours/unit = 4.0 hours
  • Product B: Fabrication = 4 units * 1.5 hours/unit = 6.0 hours, Assembly = 4 units * 2.0 hours/unit = 8.0 hours, Packaging = 4 units * 1.0 hours/unit = 4.0 hours
  • Total load: Fabrication = 2.0 + 6.0 = 8.0 hours, Assembly = 2.0 + 8.0 = 10.0 hours, Packaging = 4.0 + 4.0 = 8.0 hours

For Tuesday:

  • Product A: Fabrication = 2 units * 1.0 hours/unit = 2.0 hours, Assembly = 2 units * 1.0 hours/unit = 2.0 hours, Packaging = 2 units * 2.0 hours/unit = 4.0 hours
  • Product B: Fabrication = 1 units * 1.5 hours/unit = 1.5 hours, Assembly = 1 units * 2.0 hours/unit = 2.0 hours, Packaging = 1 units * 1.0 hours/unit = 1.0 hours
  • Total load: Fabrication = 2.0 + 1.5 = 3.5 hours, Assembly = 2.0 + 2.0 = 4.0 hours, Packaging = 4.0 + 1.0 = 5.0 hours

For Wednesday:

  • Product A: Fabrication = 1 units * 1.0 hours/unit = 1.0 hours, Assembly = 1 units * 1.0 hours/unit = 1.0 hours, Packaging = 1 units * 2.0 hours/unit = 2.0 hours
  • Product B: Fabrication = 1 units * 1.5 hours/unit = 1.5 hours, Assembly = 1 units * 2.0 hours/unit = 2.0 hours, Packaging = 1 units * 1.0 hours/unit = 1.0 hours
  • Total load: Fabrication = 1.0 + 1.5 = 2.5 hours, Assembly = 1.0 + 2.0 = 3.0 hours, Packaging = 2.0 + 1.0 = 3.0 hours

b. The schedule is not feasible. The department capacities are all 7 hours per day, but on Monday, the total load for Fabrication, Assembly, and Packaging are 8.0, 10.0, and 8.0 hours respectively, which exceed the department capacities.

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