8/8/2019 11026_Home Work III
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LOVELY PROFESSIONAL UNIVERSITY
HOMEWORK NO 3
School LIM Department of Management
Name of the faculty member: Jagjit Singh
Course No.: MGT 613 Course Title: Operations Research
Class: MBA Term:1 Section: T1902 Batch: 2009-11
Max. Marks: 15 Date of Allotment: Oct 13, 2010 Date of
Submission: Oct 20, 2010
(5 for submission & 10 for assignment based test)
PART A
1. Consider four bases of operation Bi and three targets Tj. The
tons of bombs per aircraftfrom any base that can be delivered to
any target are given in the following table:
Target (Tj)
T1 T2 T3B1 8 6 5
B2 6 6 6
B3 10 8 4
B4 8 6 4
The daily sortie capability of each of the four bases is 150
sorties per day. The daily
requirement of sorties spread over each individual target is
200. Find the allocation of
sorties from each base to each target which maximizes the total
tonnage over all threetargets.
2. A company has four warehouses, a, b, c, and d. It is required
to deliver a product from
these warehouses to three customers A, B and C. The warehouses
have the followingamounts in stock:
Warehouse : a b c d
No. of units : 15 16 12 13and the customers requirements
are:
Customer : A B C
No. of units : 18 20 18The table below shows the costs of
transporting one unit from warehouse to the customer.
Warehouse
a b c d
A 8 9 6 3
B 6 11 5 10C 3 8 7 9
Find the optimal allocation.
3. A firm manufacturing a single product has three plants I, II
and III. They have produced
60, 35 and 40 units, respectively during this month. The firm
has made a commitment to
sell 22 units to customer A, 45 units to customer B, 20 units to
customer C, 18 units tocustomer D and 30 units to customer E. Find
the minimum possible transportation cost of
Base (Bi)
Customer
