MTH601 Midterm Past Paper 2006 Set 2

MIDTERM EXAMINATION

FALL 2006 MTH601 - OPERATIONS RESEARCH Marks: 40 Time: 60min

Student Name:

Center Name/Code:

Exam Date:

2. 2. Paste the bitmap image for the tables, diagrams etc while solving your questions
3. This examination is closed book, closed notes, closed neighbors.
4. Calculator is allowed

Question

Q1. A = 6 (10 marks)

B = 2

C = 13 D = 4

E = 9 F = 2

G = 10

H = 6 I = 7

J = 3 K = 4

L = 10

M = 5

Calculate the (i). EST, EFT, LST and LFT for each activity. (ii). Total Float, Free Float and Independent Float. (iii). Critical activities and Critical Path.

Q2. An Automobile factory manufacturers a particular type of gear within the factory. This gear is used in the final assembly. The particulars of this gear are: (15 marks)

Demand rate =14000 units/year Manufacturing rate =35000 units/year Set up cost =Rs 500 per set up Holding cost = Rs 15/units/year Determine: (a) The optimum manufacturing quantity. (b) The maximum inventory. (c) The time between orders. (d) The number of orders/year. (e) The time of manufacture. (f) The optimum annual cost if the cost of the item per unit is Rs. 25

Q3. Consider the following problem, Solve graphically (10 marks)

Minimize. Z = 3X1 + 2X2 Subject to 2X1 + X2 ≥ 10 -3X1 + 2X2 ≤ 6 X1 + X2 ≥ 6 X1 , X2 ≥ 0

Q4. Which one is best describe Sectoral planning (1 marks)

Inventory Planning in agriculture

Improving the layout of a workshop in a company

Simulation Modeling of the Economy of the country

Q5. _________________ is the most appropriate to situations where we maintain a relative stable employment levels and utilize the resource at a more constant rate (1 marks)

(a). Resource Leveling Program

(b). Resource Allocation Program

(c). Both a & b

(d). None of these.

Q6. If the slack time is zero, it means that the project will be (1 marks)

Delayed

Completed on schedule