Fabric Corporation manufactures home furnishings for department stores. Planning is underway for the production of the following items during the next production period: Fabric required (yards) Time required (hours) Packaging material (ounces) Profit Product X1 Product X2 8 2 4 328 3 2 14 8 Fabric Corporation's production manager has 3750 yards of material in stock for this production period. Six hundred hours of production time are scheduled and 500 ounces of packaging material is available. Each of these quantities can be adjusted through overtime or extra purchases. The production manager's highest priority is to achieve a profit of PhP3700. His second priority is to avoid additional purchases of packaging material. Third, the production manager wants to use all of the scheduled production hours and fourth, minimize any fabric remaining from the 3750 yards. a) Formulate the goal programming model. b) Solve the goal programming problem. Determine the satisficing solution. c) Determine whether the goals are achieved or not? If not achieved, by how much?

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 5.2SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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Fabric Corporation manufactures home furnishings for department stores. Planning is underway
for the production of the following items during the next production period:
Fabric required (yards)
Time required (hours)
Packaging material (ounces)
Profit
Product X1 Product X2
8
2
4
328
3
2
14
8
Fabric Corporation's production manager has 3750 yards of material in stock for this
production period. Six hundred hours of production time are scheduled and 500 ounces of
packaging material is available. Each of these quantities can be adjusted through overtime
or extra purchases. The production manager's highest priority is to achieve a profit of
PhP3700. His second priority is to avoid additional purchases of packaging material. Third,
the production manager wants to use all of the scheduled production hours and fourth,
minimize any fabric remaining from the 3750 yards.
a) Formulate the goal programming model.
b) Solve the goal programming problem. Determine the satisficing solution.
c) Determine whether the goals are achieved or not? If not achieved, by how much?
Transcribed Image Text:Fabric Corporation manufactures home furnishings for department stores. Planning is underway for the production of the following items during the next production period: Fabric required (yards) Time required (hours) Packaging material (ounces) Profit Product X1 Product X2 8 2 4 328 3 2 14 8 Fabric Corporation's production manager has 3750 yards of material in stock for this production period. Six hundred hours of production time are scheduled and 500 ounces of packaging material is available. Each of these quantities can be adjusted through overtime or extra purchases. The production manager's highest priority is to achieve a profit of PhP3700. His second priority is to avoid additional purchases of packaging material. Third, the production manager wants to use all of the scheduled production hours and fourth, minimize any fabric remaining from the 3750 yards. a) Formulate the goal programming model. b) Solve the goal programming problem. Determine the satisficing solution. c) Determine whether the goals are achieved or not? If not achieved, by how much?
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