The manufacturing company is planning their next month's production to make product Y and Z.

Each product Z needs 2 A components and 4 B components and each product Y needs 3 A components and 1 B component. Both A and B are made of various materials, including rubber and steel .

For producing one component A, it requires 3 m" of rubbers and 5000 g of steels, while one component B requires 1 m" of rubber and 2000 g of steels. Moreover, it takes one hour to produce a component A, and three hours to produce a component B. There are 500 m" of rubbers and 1100 kg of steels are available for next month's production.

Management Board has set the following prioritized goals:

• - Priority 1: Use no more than 600 labor-hours during the month.

• - Priority 2: Minimize the purchase of additional materials to avoid handling and storage

  problems.

• - Priority 3: Limit overtime to 20 hours

• - Priority 4: Expect a demand for 60 product Y and 100 product Z within a month. Management

  Board would like to set up a goal-programing model can meet demand for both Y and Z; however, it is three times as important to meet the demand for product Y.

a. Formulate a Goal Programming model to satisfy the requirement of Management Board. 

b. Solve this model and draw conclusions.

Answer rating: 100% (QA)

a Decision Variables Let x1 Number of units of product Y to be produced Let x2 Number of units of pr... View the full answer