3) The leather company's production function is given by F(L,K)=,150L\"\"K3\"4 ' Where F is the monthly production value when K is the amount of the company's capital investment (in dollars per month) and L is the size of the labor force (in work hours per month). Provide the name of this production function. Set up the rst order partial derivatives with respect to K and L and provide their economic interpretations. Set up the second order partial derivatives (second order own and cross partial derivatives with respect to K and L) and provide their economic interpretations. ' 4) _ Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y)=x2+y2-14x-6y-2xy+270 where x is the number of hours required by a skilled crasperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost. 5) A super market sells apples at $3 and bananas at Sb per pound. The daily demand equations for apples and bananas are given below, respectively x=198-3a+5b y=315+2a-4b Find the daily revenue function R(a,b) and evaluate it as R(I,3) and provide the ' economic interpretation of this total revenue function