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
***