Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Transcribed Image Text:A department store sells different models of bicycle. They are currently planning to place an order with their wholesaler. The table below shows the different models of bike, their profits, how much space they take
up in inventory, and how many hours of assembly time are needed.
Max
s.t.
Model
Adult's trail bike
Adult's city bike
Child's trail bike
Child's city bike
storage space
assembly time
order size
Profit (in $)
X₁, X₂, X3, X4 20
40
24
21
20
Inventory Space (in ft) Assembly Time (in hours)
2
2
Five hundred forty feet of storage are available for storing the bikes, and 1,250 hours of assembly time is available. The store wishes to place an order for at least 275 bicycles. They are assuminging every bicycle
will be sold. (Let X₁ = number of adult's trail bikes ordered. Let X₂ = number of adult's city bikes ordered. Let X3 = number of child's trail bikes ordered. Let X₁ = number of child's city bikes ordered.)
(a) Formulate a linear programming model for this problem that will maximize profit (in dollars).
1
5
6
4
4
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