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(a) Formulate a linear programming model for this problem that will maximize profit (in dollars). Max s.t. storage space assembly time order size Х1. Хz, Х3, Х420

(a) Formulate a linear programming model for this problem that will maximize profit (in dollars). Max s.t. storage space assembly time order size Х1. Хz, Х3, Х420

Practical Management Science
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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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
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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