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jbrisell jbrisell
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5 years ago
A company producing a standard line and a deluxe line of fidget spinners has the following time requirements (in minutes) in departments where either model can be processed.

StandardDeluxe
Stamping0.30.4
Extruding0.250.5
Fidget Testing11.5
The standard models contribute $2 each and the deluxe $3 each to profits. Because the company produces other items that share resources used to make the fidget spinners, the stamping machine is available only 15 minutes per hour, on average. The extruding unit has 20 minutes available each hour. There are two ADHD certified inspectors for fidget testing, but their availability is only 45 minutes per hour because they're easily distracted.

Let S = number of standard fidget spinners produced per hour
D = number of deluxe fidget spinners produced per hour

Write the formulation for this linear program and solve it using the graphical method.
Textbook 
Introduction to Management Science

Introduction to Management Science


Edition: 13th
Author:
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Replies
wrote...
5 years ago
Max $2S + $3D
s.t 0.3S + 0.4D ≤ 15
0.25S + 0.5D ≤ 20
1S + 1.5D ≤ 45



The optimal product mix is to make 30 Deluxe units and no Standard units.
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