oducing any number of boxes of a particular size. If the company desires, isfied by a box of larger size. nd Box 1 33 400 2 30 300 3 26 500 4 24 700 5 19 200 6 18 400 7 17 200 shortest-path problem whose solution will minimize the cost of meeting t nd then solve it.

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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[Short-path problem]

A company produces and sells seven types of boxes, ranging in volume from 17 to 33 cubic metres.
The demand (number of boxes) and size of each box is given in the following table. The variable cost
(in Sterling pounds) of producing each box is equal to the volume of the box. A fixed cost of £1000 is
incurred when producing any number of boxes of a particular size. If the company desires, demand for
a box may be satisfied by a box of larger size.
Box
1
Size
33
Demand 400
2
30
300
3
26
500
4
24
700
5
19
200
6
18
400
7
17
200
(a) Formulate a shortest-path problem whose solution will minimize the cost of meeting the demand
for boxes. And then solve it.
Transcribed Image Text:A company produces and sells seven types of boxes, ranging in volume from 17 to 33 cubic metres. The demand (number of boxes) and size of each box is given in the following table. The variable cost (in Sterling pounds) of producing each box is equal to the volume of the box. A fixed cost of £1000 is incurred when producing any number of boxes of a particular size. If the company desires, demand for a box may be satisfied by a box of larger size. Box 1 Size 33 Demand 400 2 30 300 3 26 500 4 24 700 5 19 200 6 18 400 7 17 200 (a) Formulate a shortest-path problem whose solution will minimize the cost of meeting the demand for boxes. And then solve it.
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