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Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Formulate the problem of determining which warehouses to lease and the
shipments to minimise overall costs.
Suppose a policy constraint requires that at most two of warehouses 1, 2 and 5
can be leased. Formulate this constraint.
(ii)
(iii)
Finally, a new policy constraint requires that, either warehouse 2 or warehouse
3 (or both) must be leased. Formulate this constraint.
Transcribed Image Text:Formulate the problem of determining which warehouses to lease and the shipments to minimise overall costs. Suppose a policy constraint requires that at most two of warehouses 1, 2 and 5 can be leased. Formulate this constraint. (ii) (iii) Finally, a new policy constraint requires that, either warehouse 2 or warehouse 3 (or both) must be leased. Formulate this constraint.
(d)
The Lucas Cycle Company manufacturers bike frames for five major cycle
departmental stores. Lottie, the transportation manager, must decide which of five
available warehouses to lease in order to meet the demand requirements of its
customers. The following tables provides the leasing cost, the per unit handling cost
at each warehouse and the per unit transportation cost for shipping between
warehouse, i, and customer j. The demand for the five customers is also shown.
Warehouse
Lease cost (£)
Unit handling cost (£)
1
500000
50
2
515000
55
3
530000
45
4
498000
57
505000
48
Unit Transport Cost (£)
Customer(j)
3
Warehouse(i)
1
2
4
1
75
71
80
50
76
2
82
89
75
65
75
3
77
65
85
45
65
4
71
65
95
80
59
68
55
99
82
89
Demand
100
200
300
400
175
Transcribed Image Text:(d) The Lucas Cycle Company manufacturers bike frames for five major cycle departmental stores. Lottie, the transportation manager, must decide which of five available warehouses to lease in order to meet the demand requirements of its customers. The following tables provides the leasing cost, the per unit handling cost at each warehouse and the per unit transportation cost for shipping between warehouse, i, and customer j. The demand for the five customers is also shown. Warehouse Lease cost (£) Unit handling cost (£) 1 500000 50 2 515000 55 3 530000 45 4 498000 57 505000 48 Unit Transport Cost (£) Customer(j) 3 Warehouse(i) 1 2 4 1 75 71 80 50 76 2 82 89 75 65 75 3 77 65 85 45 65 4 71 65 95 80 59 68 55 99 82 89 Demand 100 200 300 400 175
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