- Assignment 1:
- Bangalore Textile Company :
Bangalore textile company has in it’s a possession a plant capable of producing 6 types of suit materials . this production is currently realized by using a total of 40 machines divided in two categories , which are regular machines and super machines . the regular machines can only afford the manufacturing of materials types 1 ; 2 and 3 while the super machine are more flexible because they generate all 6 material types . knowing that there is 25 regular machines and 15 super machines in addition to a plant operating capacity of 24 hours a day for the 30 days of next month , the company is obliged to meet the customer demand requirements based on established forecasts and to complete this purpose it should either produce materials locally or purchase them from another textile firm or doing both actions .
Table 1 : Production rates of suit materials
Table 2 : Demand , selling and purchase prices , production cost
(The linear programming model related to this maximization problem is expressed in 3 variables) S = super machine ; R = regular machine ; P = purchasing price
Decision variables :
S1 = number of Material type 1 manufactured by the super machines
S2 = number of Material type 2 manufactured by the super machines
S3 = number of Material type 3 manufactured by the super machines
S3 = number of Material type 4 manufactured by the super machines
S4 = number of Material type 5 manufactured by the super machines
S5 = number of Material type 6 manufactured by the super machines
S6 = number of Material type 6 manufactured by the super machines
R1 = number of Material type 1 manufactured by the regular machines R2 = number of Material type 2 manufactured by the regular machines R3 = number of Material type 3 manufactured by the regular machines
P1 = number of Material type 1 purchased P2 = number of Material type 2 purchased P3 = number of Material type 3 purchased
As we are