A manufacturer produces two models of bikes -,model X and model Y. Model X takes a 6 man-hours to make per unit, while model Y takes 10 man hours per unit. There is a total of 450 man-hour available per week. Handling and marketing costs are Rs 2000 and Rs 1000 per units for models X and Y, respectively. The total funds available for these purposes are Rs 80000 per week. Profits per units for models X and Y are Rs 1000 and Rs 500, respectively. How many bikes of each model should the manufacturer produce, so as to yield a maximum profit ? Find the maximum profit.