Assume that a firm uses two types of input in the production of a certain commodity. What is the maximum output if the marginal product of input 1 is MP1=100X2-X1 and the marginal product of input 2 is MP2=100X1-X2,the total amount that can be spent on inputs is $1000, the price of input 1 is $2 and the price of input 2 is $5?