the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each component required for each product and the profit per unit are given in the table. Components Required/Unit A B Profit/unit LaserStop 18 6 $24 SpeedBuster 12 10 $40 a. Identify the decision variables, objective function, and constraints in simple verbal statements. b. Mathematically formulate a linear optimization model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Question
Implement the linear optimization model that you developed for Valencia Products in Problem 1
in Excel and use Solver to find an optimal solution. Interpret the Solver Answer report and identify
the binding constraints and verify the values ofthe slack variables by substituting the optimal
solution into the model constraints.
1. Valencia Products makes automobile radar detectors and assembles two models:
LaserStop and SpeedBuster. The firm can sell all it produces. Both models use
the same electronic components. Two of these can be obtained only from a single
supplier. For the next month, the supply of these is limited to 4,000 of component
A and 3,500 of component B. The number of each component required for each
product and the profit per unit are given in the table.
LaserStop
SpeedBuster
Components
Required/Unit
A
B
Profit/unit
18
6
$24
12
10
$40
a. Identify the decision variables, objective function, and constraints in simple
verbal statements.
b. Mathematically formulate a linear optimization model.
Transcribed Image Text:Implement the linear optimization model that you developed for Valencia Products in Problem 1 in Excel and use Solver to find an optimal solution. Interpret the Solver Answer report and identify the binding constraints and verify the values ofthe slack variables by substituting the optimal solution into the model constraints. 1. Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. The firm can sell all it produces. Both models use the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each component required for each product and the profit per unit are given in the table. LaserStop SpeedBuster Components Required/Unit A B Profit/unit 18 6 $24 12 10 $40 a. Identify the decision variables, objective function, and constraints in simple verbal statements. b. Mathematically formulate a linear optimization model.
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