Let X E Riv denote a vector ofinputs and y E R34 be a vector of outputs. The input distance function is defined as d1(x,y) = maXd {d l X/d E V(y)} where V(y) is the input requirement set. (1) Draw a diagram with two inputs and an isoquant. Identify the distance function and provide an interpretation of this function. (2) Given the standard assumptions on technology, show the following properties: d(x, y) 2 l d (X, y) is nondecreasing, concave and homogenous of degree 1 in X d (X, y) is non-increasing and quasi-concave in outputs. d(X,y) is continuous in X,y