Bill is trying to determine how many units of two types of telephones to produce each day.  One of these is the standard, while the other is the deluxe.  The profit per unit on the standard is $50, while the profit per unit on the deluxe is $60.  Each model requires 30 minutes of assembly time.  The standard requires 10 minutes of inspection time and the deluxe requires 15 minutes of inspection time.  There are 450 minutes of assembly time and 180 minutes of inspection time available each day.  How many of each product should be manufactured to maximize profits?       Standard Phones (X1) Deluxe Phones (X2) Time Available Assembly 30 30 450 Inspection 10 15 180 Profit $50 $60     Which of the following graphs best describes the solution using the data

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Author:Amos Gilat
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Bill is trying to determine how many units of two types of telephones to produce each day.  One of these is the standard, while the other is the deluxe.  The profit per unit on the standard is $50, while the profit per unit on the deluxe is $60.  Each model requires 30 minutes of assembly time.  The standard requires 10 minutes of inspection time and the deluxe requires 15 minutes of inspection time.  There are 450 minutes of assembly time and 180 minutes of inspection time available each day.  How many of each product should be manufactured to maximize profits?  

 

 

Standard Phones

(X1)

Deluxe Phones (X2)

Time Available

Assembly

30

30

450

Inspection

10

15

180

Profit

$50

$60

 

 

Which of the following graphs best describes the solution using the data

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