Machine X produces articles at the rate of 50 units/h. SP of each article is Rs 100 and the cost of production is Rs 40 each. However, 20% of the articles produced are defective and hence cannot be sold. The rate of production of machine can be increased, but with every increase of N units/h production cost would increase by 2x% and the number of defectives would become (20 + 1.5x)%.
Find the maximum increase in production that can be undertaken without incurring losses.