GOAL PROGRAMMING

Masterbag Industries makes two products and each product is processed in three departments. The time requirements for each product in each department are given below. The profit for each product is also provided as well as the available hours in each department.

Product Department A Department B Department C Profit

1 3 4 2 1

2 2 1 2 2

Available Hours 600 400 400

Management wants to achieve 3 goals. The first two goals are equal in priority.

Priority 1: Produce at least 80 units of product 1.

Priority 1: Produce at least 80 units of product 2.

Priority 2: Achieve a profit of at least 240.

a) Are there system constraints? Answer YES or NO. How many system constraints ?

b) For goal 1, what deviational variable should be placed in the objective function. Answer d1+ or d1-.

c) Find the satisficing values of X1 and X2 .

d) Are all the goals achieved? Answer YES or NO.