A III manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of dollars) of manufacturing depends on the quantities, x and y, produced at each factory, respectively, and acetate fibers that can be produced is given by the function: is expressed by the joint cost function: z = f(x, y) = 11500x + 4500y + 11x2y - 723 C(x, y) = 9x2 + 5xy + 73 + 7200 Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant A) If the company manufactures 130 units at Factory X and 140 units at Factory Y, what are the total Costs y = the # of unskilled workers at the plant of production? Total Costs = $ Determine the following: A) The weekly number of pounds of fiber that can be produced with 17 skilled workers and 40 unskilled workers. B) Find an expression for the rate of change of costs with respect to units produced at Factory X. Write your answer as an expression, not an equation (i.e. do not use an = sign). Answer = pounds Your expression = B) Find an expression (fz) for the rate of change of output with respect to the number of skilled workers. Answer = fz = C) Find an expression for the rate of change of costs with respect to units produced at Factory Y. Write your answer as an expression, not an equation (i.e. do not use an = sign). C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled Your expression = workers . Answer = fy = D) Find the rate of change of costs with respect to units produced at Factory X when 130 units have been produced at Factory X and 140 units have been produced at Factory Y. D) Find the rate of change of output with respect to skilled workers when 17 skilled workers and 40 unskilled workers are employed. (Your answer will be a number.) Rate of change = dollars per unit produced at X. Answer = weekly pounds per skilled worker E) Find the rate of change of costs with respect to units produced at Factory Y when 130 units have been E) Find the rate of change of output with respect to unskilled workers when 17 skilled workers and 40 produced at Factory X and 140 units have been produced at Factory Y. unskilled workers are employed. (Your answer will be a number.) Rate of change = dollars per unit produced at Y. Answer = weekly pounds per unskilled worker