A production manager is trying to determine how many units of two types of products to produce each day. One of these is the Standard model, while the other is the Luxurious model. The profit per unit on the Standard model is R600, while the profit per unit on the Luxurious model is R400. The Standard model requires 20 minutes of assembly time, while the Luxurious model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Luxurious model requires 0.25 hour of inspection time. To meet a specific order, at least 6 Luxurious models must be produced. There are 450 minutes of assembly time and 3 hours of inspection time available each day. Make use of Linear programming graphical method to determine how many units of each product that should be manufactured to maximize profits?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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A production manager is trying to determine how many units of two types of products to produce each day. One of these is the Standard model, while the other is the Luxurious model. The profit per unit on the Standard model is R600, while the profit per unit on the Luxurious model is R400. The Standard model requires 20 minutes of assembly time, while the Luxurious model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Luxurious model requires 0.25 hour of inspection time. To meet a specific order, at least 6 Luxurious models must be produced. There are 450 minutes of assembly time and 3 hours of inspection time available each day. Make use of Linear programming graphical method to determine how many units of each product that should be manufactured to maximize profits? 

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