a) Draw a shortest path network for this problem. Include all node, arcs, and costs associated with arcs. Box

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 51P
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A company sells seven types of boxes, ranging in volume
from 17 to 33 cubic feet. The demand and size of each
.box is given in the following table. The variable cost (in
dollars) of producing each box is equal to the box's
volume. A fixed cast of $1,000 is incurred to produce any
of a particular box. If the company desires, demand for a
box may be satisfied by a box of larger size.
a) Draw a shortest path network for this problem. Include
all node, arcs, and costs associated with arcs.
Box
1234567
Size 33 30 26 24 19 18 17
Demand 400 300 500 700 200 400 200
Transcribed Image Text:A company sells seven types of boxes, ranging in volume from 17 to 33 cubic feet. The demand and size of each .box is given in the following table. The variable cost (in dollars) of producing each box is equal to the box's volume. A fixed cast of $1,000 is incurred to produce any of a particular box. If the company desires, demand for a box may be satisfied by a box of larger size. a) Draw a shortest path network for this problem. Include all node, arcs, and costs associated with arcs. Box 1234567 Size 33 30 26 24 19 18 17 Demand 400 300 500 700 200 400 200
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