Answer:
A - 90 units
B = 0 units
Step-by-step explanation:
Here we have two models A and B with the following particulars
Model A B (in minutes)
Assembly 20 15
Packing 10 12
Objective function to maxmize is the total profit
where A and B denote the number of units produced by corresponding models.
Constraints are
These equations would have solutions as positive only
Intersection of these would be at the point
i) (A,B) = (60,40)
Or if one model is made 0 then the points would be
ii) (A,B) = (90,0) oriii) (0, 90)
Let us calculate Z for these three points
A B Profit
60 40 1040
90 0 1080
0 90 720
So we find that optimum solution is
A -90 units and B = 0 units.
