An automobile manufacturer needs to allocate a maximum sum of $2.5 XlO6 between the development of two different car models. The profit expected from both the models is given by JC{ 5Jc2, where JC, denotes the money allocated to model i (i = 1,2). Since the success of each model helps the other, the amount allocated to the first model should not exceed four times the amount allocated to the second model. Determine the amounts to be allocated to the two models to maximize the profit expected.