MTH601 Midterm Past Paper 2006

MTH601 Midterm 2006 Paper - Operations Research

MTH601 Midterm Question Paper of Operations Research

fall 2006 - Session 6

Marks = M = 40 Time: 60min

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.

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: 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

Consider the following problem, Solve graphically

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

Which one is best describe Sectoral planning

1. Inventory Planning in agriculture
2. Improving the layout of a workshop in a company
3. Simulation Modeling of the Economy of the country
4. None of these.

_________________ is the most appropriate to situations where we maintain a relative stable employment levels and utilize the resource at a more constant rate

1. (a). Resource Leveling Program
2. (b). Resource Allocation Program
3. (c). Both a & b
4. (d). None of these.

If the slack time is zero, it means that the project will be

1. Delayed
2. Completed on schedule

The amount of an activity can be delayed without affecting the early start time of any other job, is called