Question

A company is producing two products, product A and product B. It takes 2 hours too produce one unit of product A and 1 hour to produce 1 unit of product B. To produce one unit of product B it costs 10 rupees. The total budget available is 100 rupees. It is required that the company produce at least 10 units of product A and product B taken together. However, the company can not produce more than 5 units of product B. It is required to find how many units of A and B should be produced so that the total production time is minimized. Formulate the above problem as a linear programming problem and solve it by the graphical method.