Operations Research Answers

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

(20 Marks)

Company Warehouses

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

1. you are to prepare a work breakdown structure, draw the network diagram. A business is launching a new product. The launch will require a number of related activities as follows – hire a sales manager (5 weeks), require the sales manager to recruit salespeople (4 weeks), train the salespeople (7 weeks), select an advertising agency (2 weeks), plan an advertising campaign with the agency (4 weeks), conduct the advertising campaign (10 weeks), design the packaging of the product (4 weeks), set up packing operation (12 weeks), pack enough products for the launch stock (8 weeks), order the launch quantity of products from the manufacturer (13 weeks), select distributors for the product (9 weeks), take initial orders from the distributors (3 weeks), dispatch the initial orders to the distributors (2 weeks).