Suppose that you are running a factory, producing parts for cars that require steel as raw material. Your costs are predominantly human labour, which is 20/hour for your workers, and steel itself, which runs for 170/ton. Suppose that your revenue R is described as follows:

R(h,s)=200h0,5s0,5, where h is hours of labour and s is tons of steel. Your total budget is 32180, what is the maximum possible revenue you could earn?