A company manufactures two (2) electronic devices A and B. Each unit of device A requires 3 motors and 2 transformers, and each unit of device B requires 2 motors and 4 transformers. The supply of motors and transformers each day are limited to 2100 and 3000 units, respectively. Device B is a special model that comes with remote control, and the supply of remote control is limited to 650 units a day. The company gets a profit of RM 20 for each unit of device A and RM 30 for each unit of device B.
(a) If x represents the number of device A and y represents the number of device B that can be produced in a day, formulate the problem above in mathematical model.
(b) By letting to represent the number of device A and to represent the number of device B that can be produced in a day, modify and convert the mathematical model in (a) into its standard form.
(c)Solve the problem using Simplex Method.
Four companies viz. W, X, Y and Z supply the requirements of three warehouses viz. A,
B and C respectively. The companies’ availability, warehouses requirements and the unit
cost of transportation are given in the following table. Find an initial basic feasible
solution using a. North West Corner Method b. Least Cost Method c. Vogel
approximation Method (VAM) d. Find optimal solution using stepping stone algorithm
A B C Supply
W 10 8 9 15
X 5 2 3 20
Y 6 7 4 30
Z 7 6 9 35
Requirement 25 26 49 100