evazquez
30.07.2021 •
Mathematics
A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.
STANDARD DELUXE
STAMPING 3 6
Motor installation 10 10
Wiring 10 15
The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour.
Required:
a. Write the formulation for this linear program and then solve.
b. What is the value of the optimal profit ?
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Ответ:
Complete Question
Complete Question is attached below
Step-by-step explanation:
From the question we are told that:
Standard models contribute $20
Deluxe models contribute $30
Availability Average :
Stamping machine S= 30 minutes per hour
Motor installation Production M=60 minutes
Wiring is W=90 minutes per hour
Generally the formulation of the linear program is given as
Where
For Stamping machine
For Motor installation Production
For Wiring
Therefore
Solving Equ...(1,2,3) simultaneously we have
Therefore
Ответ: