Jawaharlal Nehru Technological University Hyderabad 2007 B.E Computer Science MATHEMATICAL MODELLING AND SIMULATION - Question Paper
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example. [16]
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Code No: RR410508 Set No. 2
IV B.Tech I Semester Regular Examinations, November 2007
MATHEMATICAL MODEL LING AND SIMULATION
( Common to Computer Science & Engineering and Electronics &
Computer Engineering)
Time: three hours Max Marks: 80
ans any 5 ques.
All ques. carry equal marks
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1. (a) discuss briefly the general methods for solving O. R. models. [6]
(b) Ozark Farms uses at lowest 800 lb of special feed daily. The special feed is a
mixture of corn and soybean meal with the subsequent compositions.
lb per lb of feed stuff
Feed Stuff Protein Fiber Cost($lb)
Corn 0.09 0.02 0.30
Soybean 0.60 0.06 0.90
The dietary requirements of the special feed stipulate atleast 30% protein and at
most 5% fiber. Ozark Farms wishes to determine the daily minimum - cost feed
-mix. Formulate it as an L. P. model [10]
2. A company manufacturing air - coolers has 2 plants located at Mumbai and
Kolkata with capacities of 200 Units and 100 units per week respectively. The
company supplies the air coolers to its 4 show rooms situated at Ranchi, Delhi,
Lucknow and Kanapur which have a maximum demand of 75, 100, 100 and 30 units
respectively. Due to the difference in raw material cost and transportation cost,
the profit per unit in rupees differs which is shown in the table below: [16]
Ranchi Delhi Lucknow Kanpur
Mumbai 90 90 100 100
Kolkata 50 70 130 85
obtain the production programme so as to maximize the profit. The company may
have its production capacity at any plant partly unused.
3. (a) elaborate the kinds of inventory? Why they are maintained? [6]
(b) A particular item has a demand of 9,000 units/year. The cost of 1 pro-
curement is Rs. 100 and the holding cost per unit is Rs. 2.40 per year. The
replacement is instaneous and no shortages are allowed determine. [10]
| Earning: Approval pending. |
