ali and abu (zz) Sport Sdn. Bhd. makes two (2) types of hockey goal keeper gloves; Regular model and Catcher model. The process for making gloves are cutting & sewing, finishing and packaging & shipping. Each process is done in three (3) separate production sections called cutting & sewing section, finishing section and packaging & shipping section. The firm wants to decide on the quantities of Regular and Catcher models in order to maximize total profit. The relevant data on the hours required in each process and the maximum hours available per production section are given in the Table 1 below:

Table 1: Production Time Model Production Process Time (Hours) Profit per glove (RM) Cutting & Sewing Finishing Pack & Ship Regular model 1 1/2 1/8 5 Catcher model 1 1/3 1/4 8 Labour hours available per section. 900 300 100

(a) Formulate the Linear Programming (LP) model for this problem.

(b) Develop and find the optimal solution using the graphical solution procedure.

(c) Determine the total profit zz Sport Sdn Bhd can earn with the given optimal production quantities?

(d) How many hours of production time will be scheduled in each department?

Model Production Process Time (Hours) Cutting & Finishing Pack & Ship Sewing 1 1/2 1/8 Profit per glove (RM) 5 Regular model Catcher model 12 1/3 1/4 8 900 300 100 Labour hours available per