Operations Research - BMS - Assignment

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Transcript of Operations Research - BMS - Assignment

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 Product B Available capa(hr/unit) (hr/unit) city per day (hr) Process I 240 240 16800 Process II 30 60 3000 Process III 160 80 9600 Profit /unit () 50 70 How 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: Maximize : Subject to Z = 90 0 x + 60 0 y 5 x + 8y 20 0 x 17 5 y 2 25 7 x + 4 y 1 400 x, y 0

Q 3.

Solve using simplex method: Minimize : Z = 6 0 x1 + 8 0 x2 Subject to 20 x1 + 3 0 x2 9 00 4 0 x1 + 30 x2 1 20 0 x1 , x2 0 Draw a network diagram for the following: Activity: Preceding Activity:A .. B A C A D A E, F B G E H F I G. H J C K D L I,J,K

Q 4.

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.