The production of a product is characterised by the function f(x,y) = 16x"4y3'4, where x is the number of units of labour and y is the number of units of capital needed to produce f(x, y) units of th product. Each unit of labour costs 50 and each unit of capital costs 100. You are given a budget of 500,000 and ar- asked to calculate the number of units of labour that maximise the production. Enter your answer as an integer