Operations Research – Assignment(Please submit it latest by Monday)

Q 1. A company produces two products A and B, each of which requires three types of processing. The length of time for processing each unit and the profit per unit are given in the following table:

Product A (hr/unit)

Product B (hr/unit)

Available capa-city per day (hr)

Process I 240 240 16800Process II 30 60 3000Process III 160 80 9600

Profit /unit (₹) 50 70How many units of each product should the company produce in order to maximize the profit? – Formulate this into an LPP model.

Q 2. Solve graphically:

Q 3. Solve using simplex method:

Q 4. Draw a network diagram for the following:

Activity: A B C D E, F G H I J K L

Preceding Activity:

.. A A A B E F G. H C D I,J,K

Q 5. For the following data find EST, EFT, LFT and LST for the activity schedule given below. Also find the critical path and project duration. Verify critical path with the help of total float.