Given production function f(x,y)= (cx^[a+b])(y^[b-a])where a, b, c are positive and b>a,
a. Discuss the returns to scale, marginal product of inputs, and technical rate of substitution. (hint: show that whether they are increasing, constant, or decreasing)
b. Given the cost of x and y are w and u, and the price of output is p, find out the best inputs levels that would benefit you the most.