2. the constraints have not been specified and as such inputs to solve the problem are missing.

 

3.  Let the production of bargain and deluxe monitors be x units and y units respectively for maximizing the profit

 

Let Z be the Objective function for maximization.

 

Z= 100x +150 y

 

The constraint for the Assembly line hours is 3x +5y ≤ 3900

 

      Constraint for Cabinet shop hours    is    x+3y ≤ 2100

 

Constraint for Testing & Packing hours is   2x+2y≤ 2200, or x+y ≤ 1100

 

And of course  x ≥ 0     and y ≥ 0

 

All these constraints are put on a graph as shown below

Value of Z = 100x+150y  at ( 0,0 )      is       =   0

Value of Z at   (0,700)        is      = 105000

Value of Z at   (300,600)    is      = 30000+90000

                                                     = 120000

Value of Z at   (800,300)   is        = 80000+45000

                                                     = 125000

Value of Z at (1100,0)       is        = 110000

 

It is obvious  from the above calculation that Z is maximum at (800, 300) that is

If  production of Bargain monitors is 800 units and Deluxe monitors is 300 units

 

 

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