A recent study in Country T reveals that the application Of x hundred kilograms Of Fertilizer K andy hundred kilograms Of Fertilizer N to a hectare Of paddy field leads to an increase in rice production by approximately R(x, where (a) (b) Determine the optimal amount of Fertilizer K and N that should be applied to achieve the highest rice yield per hectare. Give your answer correct to the nearest kilograms. (6 marks) Fertilizers K and N are both sold at S a per kg in Country T. The govemment ofCountry T offers a fertilizer subsidy of S 10,000 per hectare to paddy farmers with the aim of bolstering the rice industry. Assuming that the entire fertilizer subsidy is dedicated to purchasing Fertilizer K and N, how should the money be allocated to maximize the rice production per hectare? Justify your answer by using the method Of Lagrange multipliers. (4 marks)