Each unit of Product A that a company produces, is sold for Rs 100 with a production cost of Rs 60 and each unit of Product B is sold for Rs150 with production cost of Rs 90. On a given day, the company has a budget of Rs 8000 to spend on production.The production process makes it such that they can only produce a maximum of100 units each day. Also, the number of product B produced can not be more than twice as many of Product A.
Frame a linear programming problem to determine how many units of Product A and B should the company produce in a day in order to maximize their profit?
(Note: No need to find the feasible region and optimal solution.)