Let the number of desktop and portable computers to be sold be x and y respectively.
Here, Profit is the objective function z.
z = 4500x + 5000y …(i)
we have to maximise z subject to the constraints
x + y≤250 …(ii) (Demand Constraint)
25000x + 40000y≤70,00,000 …(iii) (Investment constraint)
Þ 5x + 8y ≤1400
x≥0, y ≥0 …(iv) (Non-negative constraint)
Graph of x = 0 and y = 0 is the y-axis and x-axis respectively.
Graph of x≥0, y≥0 is the Ist quadrant.
Graph of x + y ≤250 :
Graph of x + y = 250
Now, we evaluate objective function Z at each corner
Maximum profit is Rs.11,50,000/- when he plan to sell 200 unit desktop and 50 portable computers.